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Finding the Third Proportional to 132,154.03 and 212,788.27

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Solution

The third proportional to 132,154.03 and 212,788.27 is: 342,621.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,154.03 : 212,788.27 = 212,788.27 : x
  2. Step 2: Convert to fraction form
    132,154.03/212,788.27 = 212,788.27/x
  3. Step 3: Cross multiply
    132,154.03x = 212,788.27 × 212,788.27
  4. Step 4: Simplify right side
    132,154.03x = 45,278,845,987.70
  5. Step 5: Solve for x
    x = 45,278,845,987.70/132,154.03
  6. Step 6: Final answer
    x = 342,621.75

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.