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Finding the Third Proportional to 143,266,180,801.50 and 306,657,855,126

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Solution

The third proportional to 143,266,180,801.50 and 306,657,855,126 is: 656,393,850,833.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,266,180,801.50 : 306,657,855,126 = 306,657,855,126 : x
  2. Step 2: Convert to fraction form
    143,266,180,801.50/306,657,855,126 = 306,657,855,126/x
  3. Step 3: Cross multiply
    143,266,180,801.50x = 306,657,855,126 × 306,657,855,126
  4. Step 4: Simplify right side
    143,266,180,801.50x = 94,039,040,110,478,806,220,800
  5. Step 5: Solve for x
    x = 94,039,040,110,478,806,220,800/143,266,180,801.50
  6. Step 6: Final answer
    x = 656,393,850,833.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.