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Finding the Third Proportional to 140,356.13 and 215,739.75

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Solution

The third proportional to 140,356.13 and 215,739.75 is: 331,611.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,356.13 : 215,739.75 = 215,739.75 : x
  2. Step 2: Convert to fraction form
    140,356.13/215,739.75 = 215,739.75/x
  3. Step 3: Cross multiply
    140,356.13x = 215,739.75 × 215,739.75
  4. Step 4: Simplify right side
    140,356.13x = 46,543,639,730.06
  5. Step 5: Solve for x
    x = 46,543,639,730.06/140,356.13
  6. Step 6: Final answer
    x = 331,611.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.