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Finding the Third Proportional to 84,789 and 115,154

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Solution

The third proportional to 84,789 and 115,154 is: 156,393.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,789 : 115,154 = 115,154 : x
  2. Step 2: Convert to fraction form
    84,789/115,154 = 115,154/x
  3. Step 3: Cross multiply
    84,789x = 115,154 × 115,154
  4. Step 4: Simplify right side
    84,789x = 13,260,443,716
  5. Step 5: Solve for x
    x = 13,260,443,716/84,789
  6. Step 6: Final answer
    x = 156,393.44

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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.