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Finding the Third Proportional to 132,100.88 and 176,972.34

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Solution

The third proportional to 132,100.88 and 176,972.34 is: 237,085.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,100.88 : 176,972.34 = 176,972.34 : x
  2. Step 2: Convert to fraction form
    132,100.88/176,972.34 = 176,972.34/x
  3. Step 3: Cross multiply
    132,100.88x = 176,972.34 × 176,972.34
  4. Step 4: Simplify right side
    132,100.88x = 31,319,210,452.37
  5. Step 5: Solve for x
    x = 31,319,210,452.37/132,100.88
  6. Step 6: Final answer
    x = 237,085.56

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.