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Finding the Third Proportional to 138,576 and 202,680

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Solution

The third proportional to 138,576 and 202,680 is: 296,437.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,576 : 202,680 = 202,680 : x
  2. Step 2: Convert to fraction form
    138,576/202,680 = 202,680/x
  3. Step 3: Cross multiply
    138,576x = 202,680 × 202,680
  4. Step 4: Simplify right side
    138,576x = 41,079,182,400
  5. Step 5: Solve for x
    x = 41,079,182,400/138,576
  6. Step 6: Final answer
    x = 296,437.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.