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Finding the Third Proportional to 124,550 and 193,387

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Solution

The third proportional to 124,550 and 193,387 is: 300,269.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,550 : 193,387 = 193,387 : x
  2. Step 2: Convert to fraction form
    124,550/193,387 = 193,387/x
  3. Step 3: Cross multiply
    124,550x = 193,387 × 193,387
  4. Step 4: Simplify right side
    124,550x = 37,398,531,769
  5. Step 5: Solve for x
    x = 37,398,531,769/124,550
  6. Step 6: Final answer
    x = 300,269.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.