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Finding the Third Proportional to 21,700 and 29,478

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Solution

The third proportional to 21,700 and 29,478 is: 40,043.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,700 : 29,478 = 29,478 : x
  2. Step 2: Convert to fraction form
    21,700/29,478 = 29,478/x
  3. Step 3: Cross multiply
    21,700x = 29,478 × 29,478
  4. Step 4: Simplify right side
    21,700x = 868,952,484
  5. Step 5: Solve for x
    x = 868,952,484/21,700
  6. Step 6: Final answer
    x = 40,043.89

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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.