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Finding the Third Proportional to 10,552.78 and 22,581.28

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Solution

The third proportional to 10,552.78 and 22,581.28 is: 48,320.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,552.78 : 22,581.28 = 22,581.28 : x
  2. Step 2: Convert to fraction form
    10,552.78/22,581.28 = 22,581.28/x
  3. Step 3: Cross multiply
    10,552.78x = 22,581.28 × 22,581.28
  4. Step 4: Simplify right side
    10,552.78x = 509,914,262.89
  5. Step 5: Solve for x
    x = 509,914,262.89/10,552.78
  6. Step 6: Final answer
    x = 48,320.37

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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.