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Finding the Third Proportional to 157,262,266.50 and 246,160,543.50

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Solution

The third proportional to 157,262,266.50 and 246,160,543.50 is: 385,311,839.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,262,266.50 : 246,160,543.50 = 246,160,543.50 : x
  2. Step 2: Convert to fraction form
    157,262,266.50/246,160,543.50 = 246,160,543.50/x
  3. Step 3: Cross multiply
    157,262,266.50x = 246,160,543.50 × 246,160,543.50
  4. Step 4: Simplify right side
    157,262,266.50x = 60,595,013,176,215,392
  5. Step 5: Solve for x
    x = 60,595,013,176,215,392/157,262,266.50
  6. Step 6: Final answer
    x = 385,311,839.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.