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Finding the Third Proportional to 132,428.50 and 170,034.50

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Solution

The third proportional to 132,428.50 and 170,034.50 is: 218,319.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,428.50 : 170,034.50 = 170,034.50 : x
  2. Step 2: Convert to fraction form
    132,428.50/170,034.50 = 170,034.50/x
  3. Step 3: Cross multiply
    132,428.50x = 170,034.50 × 170,034.50
  4. Step 4: Simplify right side
    132,428.50x = 28,911,731,190.25
  5. Step 5: Solve for x
    x = 28,911,731,190.25/132,428.50
  6. Step 6: Final answer
    x = 218,319.56

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.