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Finding the Third Proportional to 81,406.50 and 173,566

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Solution

The third proportional to 81,406.50 and 173,566 is: 370,058.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,406.50 : 173,566 = 173,566 : x
  2. Step 2: Convert to fraction form
    81,406.50/173,566 = 173,566/x
  3. Step 3: Cross multiply
    81,406.50x = 173,566 × 173,566
  4. Step 4: Simplify right side
    81,406.50x = 30,125,156,356
  5. Step 5: Solve for x
    x = 30,125,156,356/81,406.50
  6. Step 6: Final answer
    x = 370,058.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.