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Finding the Third Proportional to 140,140.13 and 217,411.59

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Solution

The third proportional to 140,140.13 and 217,411.59 is: 337,289.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,140.13 : 217,411.59 = 217,411.59 : x
  2. Step 2: Convert to fraction form
    140,140.13/217,411.59 = 217,411.59/x
  3. Step 3: Cross multiply
    140,140.13x = 217,411.59 × 217,411.59
  4. Step 4: Simplify right side
    140,140.13x = 47,267,801,096.92
  5. Step 5: Solve for x
    x = 47,267,801,096.92/140,140.13
  6. Step 6: Final answer
    x = 337,289.56

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1.5x scale

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.