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Finding the Third Proportional to 87,388 and 131,798

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Solution

The third proportional to 87,388 and 131,798 is: 198,776.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,388 : 131,798 = 131,798 : x
  2. Step 2: Convert to fraction form
    87,388/131,798 = 131,798/x
  3. Step 3: Cross multiply
    87,388x = 131,798 × 131,798
  4. Step 4: Simplify right side
    87,388x = 17,370,712,804
  5. Step 5: Solve for x
    x = 17,370,712,804/87,388
  6. Step 6: Final answer
    x = 198,776.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.