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Finding the Third Proportional to 90,562 and 125,131

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Solution

The third proportional to 90,562 and 125,131 is: 172,895.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,562 : 125,131 = 125,131 : x
  2. Step 2: Convert to fraction form
    90,562/125,131 = 125,131/x
  3. Step 3: Cross multiply
    90,562x = 125,131 × 125,131
  4. Step 4: Simplify right side
    90,562x = 15,657,767,161
  5. Step 5: Solve for x
    x = 15,657,767,161/90,562
  6. Step 6: Final answer
    x = 172,895.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.