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Finding the Third Proportional to 442,488 and 686,304

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Solution

The third proportional to 442,488 and 686,304 is: 1,064,465.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,488 : 686,304 = 686,304 : x
  2. Step 2: Convert to fraction form
    442,488/686,304 = 686,304/x
  3. Step 3: Cross multiply
    442,488x = 686,304 × 686,304
  4. Step 4: Simplify right side
    442,488x = 471,013,180,416
  5. Step 5: Solve for x
    x = 471,013,180,416/442,488
  6. Step 6: Final answer
    x = 1,064,465.43

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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.