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Finding the Third Proportional to 138,145.50 and 219,474.56

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Solution

The third proportional to 138,145.50 and 219,474.56 is: 348,683.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,145.50 : 219,474.56 = 219,474.56 : x
  2. Step 2: Convert to fraction form
    138,145.50/219,474.56 = 219,474.56/x
  3. Step 3: Cross multiply
    138,145.50x = 219,474.56 × 219,474.56
  4. Step 4: Simplify right side
    138,145.50x = 48,169,083,584.57
  5. Step 5: Solve for x
    x = 48,169,083,584.57/138,145.50
  6. Step 6: Final answer
    x = 348,683.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.