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Finding the Third Proportional to 780,399,600 and 1,062,952,020

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Solution

The third proportional to 780,399,600 and 1,062,952,020 is: 1,447,805,709.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,399,600 : 1,062,952,020 = 1,062,952,020 : x
  2. Step 2: Convert to fraction form
    780,399,600/1,062,952,020 = 1,062,952,020/x
  3. Step 3: Cross multiply
    780,399,600x = 1,062,952,020 × 1,062,952,020
  4. Step 4: Simplify right side
    780,399,600x = 1,129,866,996,822,080,384
  5. Step 5: Solve for x
    x = 1,129,866,996,822,080,384/780,399,600
  6. Step 6: Final answer
    x = 1,447,805,709.82

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.