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Finding the Third Proportional to 418,494 and 906,528

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Solution

The third proportional to 418,494 and 906,528 is: 1,963,691.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,494 : 906,528 = 906,528 : x
  2. Step 2: Convert to fraction form
    418,494/906,528 = 906,528/x
  3. Step 3: Cross multiply
    418,494x = 906,528 × 906,528
  4. Step 4: Simplify right side
    418,494x = 821,793,014,784
  5. Step 5: Solve for x
    x = 821,793,014,784/418,494
  6. Step 6: Final answer
    x = 1,963,691.27

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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.