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Finding the Third Proportional to 457,068 and 990,402

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Solution

The third proportional to 457,068 and 990,402 is: 2,146,061.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,068 : 990,402 = 990,402 : x
  2. Step 2: Convert to fraction form
    457,068/990,402 = 990,402/x
  3. Step 3: Cross multiply
    457,068x = 990,402 × 990,402
  4. Step 4: Simplify right side
    457,068x = 980,896,121,604
  5. Step 5: Solve for x
    x = 980,896,121,604/457,068
  6. Step 6: Final answer
    x = 2,146,061.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.