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Finding the Third Proportional to 66,084,216 and 143,149,584

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Solution

The third proportional to 66,084,216 and 143,149,584 is: 310,086,199.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,084,216 : 143,149,584 = 143,149,584 : x
  2. Step 2: Convert to fraction form
    66,084,216/143,149,584 = 143,149,584/x
  3. Step 3: Cross multiply
    66,084,216x = 143,149,584 × 143,149,584
  4. Step 4: Simplify right side
    66,084,216x = 20,491,803,399,373,056
  5. Step 5: Solve for x
    x = 20,491,803,399,373,056/66,084,216
  6. Step 6: Final answer
    x = 310,086,199.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.