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Finding the Third Proportional to 15,680 and 23,920

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Solution

The third proportional to 15,680 and 23,920 is: 36,490.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,680 : 23,920 = 23,920 : x
  2. Step 2: Convert to fraction form
    15,680/23,920 = 23,920/x
  3. Step 3: Cross multiply
    15,680x = 23,920 × 23,920
  4. Step 4: Simplify right side
    15,680x = 572,166,400
  5. Step 5: Solve for x
    x = 572,166,400/15,680
  6. Step 6: Final answer
    x = 36,490.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.