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Finding the Third Proportional to 14,420 and 31,432

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Solution

The third proportional to 14,420 and 31,432 is: 68,513.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,420 : 31,432 = 31,432 : x
  2. Step 2: Convert to fraction form
    14,420/31,432 = 31,432/x
  3. Step 3: Cross multiply
    14,420x = 31,432 × 31,432
  4. Step 4: Simplify right side
    14,420x = 987,970,624
  5. Step 5: Solve for x
    x = 987,970,624/14,420
  6. Step 6: Final answer
    x = 68,513.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.