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Finding the Third Proportional to 132,555.75 and 200,764.13

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Solution

The third proportional to 132,555.75 and 200,764.13 is: 304,070.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,555.75 : 200,764.13 = 200,764.13 : x
  2. Step 2: Convert to fraction form
    132,555.75/200,764.13 = 200,764.13/x
  3. Step 3: Cross multiply
    132,555.75x = 200,764.13 × 200,764.13
  4. Step 4: Simplify right side
    132,555.75x = 40,306,233,887.02
  5. Step 5: Solve for x
    x = 40,306,233,887.02/132,555.75
  6. Step 6: Final answer
    x = 304,070.05

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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.