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Finding the Third Proportional to 11,513 and 25,129

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Solution

The third proportional to 11,513 and 25,129 is: 54,848.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,513 : 25,129 = 25,129 : x
  2. Step 2: Convert to fraction form
    11,513/25,129 = 25,129/x
  3. Step 3: Cross multiply
    11,513x = 25,129 × 25,129
  4. Step 4: Simplify right side
    11,513x = 631,466,641
  5. Step 5: Solve for x
    x = 631,466,641/11,513
  6. Step 6: Final answer
    x = 54,848.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.