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Finding the Third Proportional to 138,405.38 and 216,834.19

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Solution

The third proportional to 138,405.38 and 216,834.19 is: 339,705.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,405.38 : 216,834.19 = 216,834.19 : x
  2. Step 2: Convert to fraction form
    138,405.38/216,834.19 = 216,834.19/x
  3. Step 3: Cross multiply
    138,405.38x = 216,834.19 × 216,834.19
  4. Step 4: Simplify right side
    138,405.38x = 47,017,064,868.79
  5. Step 5: Solve for x
    x = 47,017,064,868.79/138,405.38
  6. Step 6: Final answer
    x = 339,705.48

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.