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Finding the Third Proportional to 132,432 and 288,160

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Solution

The third proportional to 132,432 and 288,160 is: 627,009.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,432 : 288,160 = 288,160 : x
  2. Step 2: Convert to fraction form
    132,432/288,160 = 288,160/x
  3. Step 3: Cross multiply
    132,432x = 288,160 × 288,160
  4. Step 4: Simplify right side
    132,432x = 83,036,185,600
  5. Step 5: Solve for x
    x = 83,036,185,600/132,432
  6. Step 6: Final answer
    x = 627,009.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.