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Finding the Third Proportional to 187,876.13 and 290,943.56

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Solution

The third proportional to 187,876.13 and 290,943.56 is: 450,553.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,876.13 : 290,943.56 = 290,943.56 : x
  2. Step 2: Convert to fraction form
    187,876.13/290,943.56 = 290,943.56/x
  3. Step 3: Cross multiply
    187,876.13x = 290,943.56 × 290,943.56
  4. Step 4: Simplify right side
    187,876.13x = 84,648,156,560.19
  5. Step 5: Solve for x
    x = 84,648,156,560.19/187,876.13
  6. Step 6: Final answer
    x = 450,553.03

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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.