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Finding the Third Proportional to 406,085,869.50 and 618,646,627.50

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Solution

The third proportional to 406,085,869.50 and 618,646,627.50 is: 942,469,754.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,085,869.50 : 618,646,627.50 = 618,646,627.50 : x
  2. Step 2: Convert to fraction form
    406,085,869.50/618,646,627.50 = 618,646,627.50/x
  3. Step 3: Cross multiply
    406,085,869.50x = 618,646,627.50 × 618,646,627.50
  4. Step 4: Simplify right side
    406,085,869.50x = 382,723,649,717,123,776
  5. Step 5: Solve for x
    x = 382,723,649,717,123,776/406,085,869.50
  6. Step 6: Final answer
    x = 942,469,754.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.