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Finding the Third Proportional to 10,767.38 and 23,092.88

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Solution

The third proportional to 10,767.38 and 23,092.88 is: 49,527.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767.38 : 23,092.88 = 23,092.88 : x
  2. Step 2: Convert to fraction form
    10,767.38/23,092.88 = 23,092.88/x
  3. Step 3: Cross multiply
    10,767.38x = 23,092.88 × 23,092.88
  4. Step 4: Simplify right side
    10,767.38x = 533,280,875.77
  5. Step 5: Solve for x
    x = 533,280,875.77/10,767.38
  6. Step 6: Final answer
    x = 49,527.47

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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.