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Finding the Third Proportional to 88,515 and 191,785

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Solution

The third proportional to 88,515 and 191,785 is: 415,539.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,515 : 191,785 = 191,785 : x
  2. Step 2: Convert to fraction form
    88,515/191,785 = 191,785/x
  3. Step 3: Cross multiply
    88,515x = 191,785 × 191,785
  4. Step 4: Simplify right side
    88,515x = 36,781,486,225
  5. Step 5: Solve for x
    x = 36,781,486,225/88,515
  6. Step 6: Final answer
    x = 415,539.58

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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.