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Finding the Third Proportional to 140,145.19 and 217,419.47

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Solution

The third proportional to 140,145.19 and 217,419.47 is: 337,301.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,145.19 : 217,419.47 = 217,419.47 : x
  2. Step 2: Convert to fraction form
    140,145.19/217,419.47 = 217,419.47/x
  3. Step 3: Cross multiply
    140,145.19x = 217,419.47 × 217,419.47
  4. Step 4: Simplify right side
    140,145.19x = 47,271,225,391.53
  5. Step 5: Solve for x
    x = 47,271,225,391.53/140,145.19
  6. Step 6: Final answer
    x = 337,301.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.