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Finding the Third Proportional to 84,810 and 115,180

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Solution

The third proportional to 84,810 and 115,180 is: 156,425.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,810 : 115,180 = 115,180 : x
  2. Step 2: Convert to fraction form
    84,810/115,180 = 115,180/x
  3. Step 3: Cross multiply
    84,810x = 115,180 × 115,180
  4. Step 4: Simplify right side
    84,810x = 13,266,432,400
  5. Step 5: Solve for x
    x = 13,266,432,400/84,810
  6. Step 6: Final answer
    x = 156,425.33

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.