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Finding the Third Proportional to 15,670 and 21,487

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Solution

The third proportional to 15,670 and 21,487 is: 29,463.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,670 : 21,487 = 21,487 : x
  2. Step 2: Convert to fraction form
    15,670/21,487 = 21,487/x
  3. Step 3: Cross multiply
    15,670x = 21,487 × 21,487
  4. Step 4: Simplify right side
    15,670x = 461,691,169
  5. Step 5: Solve for x
    x = 461,691,169/15,670
  6. Step 6: Final answer
    x = 29,463.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.