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Finding the Third Proportional to 138,108.94 and 215,557.88

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Solution

The third proportional to 138,108.94 and 215,557.88 is: 336,438.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,108.94 : 215,557.88 = 215,557.88 : x
  2. Step 2: Convert to fraction form
    138,108.94/215,557.88 = 215,557.88/x
  3. Step 3: Cross multiply
    138,108.94x = 215,557.88 × 215,557.88
  4. Step 4: Simplify right side
    138,108.94x = 46,465,197,474.52
  5. Step 5: Solve for x
    x = 46,465,197,474.52/138,108.94
  6. Step 6: Final answer
    x = 336,438.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.