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Finding the Third Proportional to 10,578 and 22,654

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Solution

The third proportional to 10,578 and 22,654 is: 48,516.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578 : 22,654 = 22,654 : x
  2. Step 2: Convert to fraction form
    10,578/22,654 = 22,654/x
  3. Step 3: Cross multiply
    10,578x = 22,654 × 22,654
  4. Step 4: Simplify right side
    10,578x = 513,203,716
  5. Step 5: Solve for x
    x = 513,203,716/10,578
  6. Step 6: Final answer
    x = 48,516.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.