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Finding the Third Proportional to 15,920 and 22,270

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Solution

The third proportional to 15,920 and 22,270 is: 31,152.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,920 : 22,270 = 22,270 : x
  2. Step 2: Convert to fraction form
    15,920/22,270 = 22,270/x
  3. Step 3: Cross multiply
    15,920x = 22,270 × 22,270
  4. Step 4: Simplify right side
    15,920x = 495,952,900
  5. Step 5: Solve for x
    x = 495,952,900/15,920
  6. Step 6: Final answer
    x = 31,152.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.