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Finding the Third Proportional to 642,055 and 995,545

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Solution

The third proportional to 642,055 and 995,545 is: 1,543,652.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,055 : 995,545 = 995,545 : x
  2. Step 2: Convert to fraction form
    642,055/995,545 = 995,545/x
  3. Step 3: Cross multiply
    642,055x = 995,545 × 995,545
  4. Step 4: Simplify right side
    642,055x = 991,109,847,025
  5. Step 5: Solve for x
    x = 991,109,847,025/642,055
  6. Step 6: Final answer
    x = 1,543,652.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.