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Finding the Third Proportional to 187,785 and 407,416.50

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Solution

The third proportional to 187,785 and 407,416.50 is: 883,926.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,785 : 407,416.50 = 407,416.50 : x
  2. Step 2: Convert to fraction form
    187,785/407,416.50 = 407,416.50/x
  3. Step 3: Cross multiply
    187,785x = 407,416.50 × 407,416.50
  4. Step 4: Simplify right side
    187,785x = 165,988,204,472.25
  5. Step 5: Solve for x
    x = 165,988,204,472.25/187,785
  6. Step 6: Final answer
    x = 883,926.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.