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Finding the Third Proportional to 8,746.31 and 11,502.84

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Solution

The third proportional to 8,746.31 and 11,502.84 is: 15,128.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,746.31 : 11,502.84 = 11,502.84 : x
  2. Step 2: Convert to fraction form
    8,746.31/11,502.84 = 11,502.84/x
  3. Step 3: Cross multiply
    8,746.31x = 11,502.84 × 11,502.84
  4. Step 4: Simplify right side
    8,746.31x = 132,315,414.34
  5. Step 5: Solve for x
    x = 132,315,414.34/8,746.31
  6. Step 6: Final answer
    x = 15,128.14

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.