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Finding the Third Proportional to 84,981 and 115,007

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Solution

The third proportional to 84,981 and 115,007 is: 155,641.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,981 : 115,007 = 115,007 : x
  2. Step 2: Convert to fraction form
    84,981/115,007 = 115,007/x
  3. Step 3: Cross multiply
    84,981x = 115,007 × 115,007
  4. Step 4: Simplify right side
    84,981x = 13,226,610,049
  5. Step 5: Solve for x
    x = 13,226,610,049/84,981
  6. Step 6: Final answer
    x = 155,641.97

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.