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Finding the Third Proportional to 81,413 and 103,489

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Solution

The third proportional to 81,413 and 103,489 is: 131,551.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,413 : 103,489 = 103,489 : x
  2. Step 2: Convert to fraction form
    81,413/103,489 = 103,489/x
  3. Step 3: Cross multiply
    81,413x = 103,489 × 103,489
  4. Step 4: Simplify right side
    81,413x = 10,709,973,121
  5. Step 5: Solve for x
    x = 10,709,973,121/81,413
  6. Step 6: Final answer
    x = 131,551.14

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.