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Finding the Third Proportional to 187,737.75 and 290,719.13

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Solution

The third proportional to 187,737.75 and 290,719.13 is: 450,189.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,737.75 : 290,719.13 = 290,719.13 : x
  2. Step 2: Convert to fraction form
    187,737.75/290,719.13 = 290,719.13/x
  3. Step 3: Cross multiply
    187,737.75x = 290,719.13 × 290,719.13
  4. Step 4: Simplify right side
    187,737.75x = 84,517,609,640.77
  5. Step 5: Solve for x
    x = 84,517,609,640.77/187,737.75
  6. Step 6: Final answer
    x = 450,189.74

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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.