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Finding the Third Proportional to 285,363 and 442,472

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Solution

The third proportional to 285,363 and 442,472 is: 686,078.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,363 : 442,472 = 442,472 : x
  2. Step 2: Convert to fraction form
    285,363/442,472 = 442,472/x
  3. Step 3: Cross multiply
    285,363x = 442,472 × 442,472
  4. Step 4: Simplify right side
    285,363x = 195,781,470,784
  5. Step 5: Solve for x
    x = 195,781,470,784/285,363
  6. Step 6: Final answer
    x = 686,078.68

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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.