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Finding the Third Proportional to 81,234 and 121,174

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Solution

The third proportional to 81,234 and 121,174 is: 180,751.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,234 : 121,174 = 121,174 : x
  2. Step 2: Convert to fraction form
    81,234/121,174 = 121,174/x
  3. Step 3: Cross multiply
    81,234x = 121,174 × 121,174
  4. Step 4: Simplify right side
    81,234x = 14,683,138,276
  5. Step 5: Solve for x
    x = 14,683,138,276/81,234
  6. Step 6: Final answer
    x = 180,751.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.