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Finding the Third Proportional to 132,589 and 205,581

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Solution

The third proportional to 132,589 and 205,581 is: 318,756.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,589 : 205,581 = 205,581 : x
  2. Step 2: Convert to fraction form
    132,589/205,581 = 205,581/x
  3. Step 3: Cross multiply
    132,589x = 205,581 × 205,581
  4. Step 4: Simplify right side
    132,589x = 42,263,547,561
  5. Step 5: Solve for x
    x = 42,263,547,561/132,589
  6. Step 6: Final answer
    x = 318,756.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.