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Finding the Third Proportional to 21,580 and 29,534

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Solution

The third proportional to 21,580 and 29,534 is: 40,419.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,580 : 29,534 = 29,534 : x
  2. Step 2: Convert to fraction form
    21,580/29,534 = 29,534/x
  3. Step 3: Cross multiply
    21,580x = 29,534 × 29,534
  4. Step 4: Simplify right side
    21,580x = 872,257,156
  5. Step 5: Solve for x
    x = 872,257,156/21,580
  6. Step 6: Final answer
    x = 40,419.70

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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.