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Finding the Third Proportional to 30,420 and 40,691

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Solution

The third proportional to 30,420 and 40,691 is: 54,429.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,420 : 40,691 = 40,691 : x
  2. Step 2: Convert to fraction form
    30,420/40,691 = 40,691/x
  3. Step 3: Cross multiply
    30,420x = 40,691 × 40,691
  4. Step 4: Simplify right side
    30,420x = 1,655,757,481
  5. Step 5: Solve for x
    x = 1,655,757,481/30,420
  6. Step 6: Final answer
    x = 54,429.90

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.