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Finding the Third Proportional to 115,186.50 and 171,892.13

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Solution

The third proportional to 115,186.50 and 171,892.13 is: 256,513.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,186.50 : 171,892.13 = 171,892.13 : x
  2. Step 2: Convert to fraction form
    115,186.50/171,892.13 = 171,892.13/x
  3. Step 3: Cross multiply
    115,186.50x = 171,892.13 × 171,892.13
  4. Step 4: Simplify right side
    115,186.50x = 29,546,902,637.02
  5. Step 5: Solve for x
    x = 29,546,902,637.02/115,186.50
  6. Step 6: Final answer
    x = 256,513.59

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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.