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Finding the Third Proportional to 21,654 and 47,088

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Solution

The third proportional to 21,654 and 47,088 is: 102,395.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,654 : 47,088 = 47,088 : x
  2. Step 2: Convert to fraction form
    21,654/47,088 = 47,088/x
  3. Step 3: Cross multiply
    21,654x = 47,088 × 47,088
  4. Step 4: Simplify right side
    21,654x = 2,217,279,744
  5. Step 5: Solve for x
    x = 2,217,279,744/21,654
  6. Step 6: Final answer
    x = 102,395.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.