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Finding the Third Proportional to 10,228.78 and 13,752.28

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Solution

The third proportional to 10,228.78 and 13,752.28 is: 18,489.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,228.78 : 13,752.28 = 13,752.28 : x
  2. Step 2: Convert to fraction form
    10,228.78/13,752.28 = 13,752.28/x
  3. Step 3: Cross multiply
    10,228.78x = 13,752.28 × 13,752.28
  4. Step 4: Simplify right side
    10,228.78x = 189,125,239.58
  5. Step 5: Solve for x
    x = 189,125,239.58/10,228.78
  6. Step 6: Final answer
    x = 18,489.52

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.