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Finding the Third Proportional to 15,730 and 21,376

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Solution

The third proportional to 15,730 and 21,376 is: 29,048.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,730 : 21,376 = 21,376 : x
  2. Step 2: Convert to fraction form
    15,730/21,376 = 21,376/x
  3. Step 3: Cross multiply
    15,730x = 21,376 × 21,376
  4. Step 4: Simplify right side
    15,730x = 456,933,376
  5. Step 5: Solve for x
    x = 456,933,376/15,730
  6. Step 6: Final answer
    x = 29,048.53

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.