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Finding the Third Proportional to 132,419.81 and 188,639.72

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Solution

The third proportional to 132,419.81 and 188,639.72 is: 268,728.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,419.81 : 188,639.72 = 188,639.72 : x
  2. Step 2: Convert to fraction form
    132,419.81/188,639.72 = 188,639.72/x
  3. Step 3: Cross multiply
    132,419.81x = 188,639.72 × 188,639.72
  4. Step 4: Simplify right side
    132,419.81x = 35,584,943,490.08
  5. Step 5: Solve for x
    x = 35,584,943,490.08/132,419.81
  6. Step 6: Final answer
    x = 268,728.24

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.