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Finding the Third Proportional to 457,632 and 987,799

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Solution

The third proportional to 457,632 and 987,799 is: 2,132,164.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,632 : 987,799 = 987,799 : x
  2. Step 2: Convert to fraction form
    457,632/987,799 = 987,799/x
  3. Step 3: Cross multiply
    457,632x = 987,799 × 987,799
  4. Step 4: Simplify right side
    457,632x = 975,746,864,401
  5. Step 5: Solve for x
    x = 975,746,864,401/457,632
  6. Step 6: Final answer
    x = 2,132,164.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.