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Finding the Third Proportional to 272,384 and 422,742

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Solution

The third proportional to 272,384 and 422,742 is: 656,098.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,384 : 422,742 = 422,742 : x
  2. Step 2: Convert to fraction form
    272,384/422,742 = 422,742/x
  3. Step 3: Cross multiply
    272,384x = 422,742 × 422,742
  4. Step 4: Simplify right side
    272,384x = 178,710,798,564
  5. Step 5: Solve for x
    x = 178,710,798,564/272,384
  6. Step 6: Final answer
    x = 656,098.74

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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.