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Finding the Third Proportional to 132,427 and 289,612

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Solution

The third proportional to 132,427 and 289,612 is: 633,368.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,427 : 289,612 = 289,612 : x
  2. Step 2: Convert to fraction form
    132,427/289,612 = 289,612/x
  3. Step 3: Cross multiply
    132,427x = 289,612 × 289,612
  4. Step 4: Simplify right side
    132,427x = 83,875,110,544
  5. Step 5: Solve for x
    x = 83,875,110,544/132,427
  6. Step 6: Final answer
    x = 633,368.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.