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Finding the Third Proportional to 140,322.38 and 215,672.63

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Solution

The third proportional to 140,322.38 and 215,672.63 is: 331,484.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,322.38 : 215,672.63 = 215,672.63 : x
  2. Step 2: Convert to fraction form
    140,322.38/215,672.63 = 215,672.63/x
  3. Step 3: Cross multiply
    140,322.38x = 215,672.63 × 215,672.63
  4. Step 4: Simplify right side
    140,322.38x = 46,514,681,174.39
  5. Step 5: Solve for x
    x = 46,514,681,174.39/140,322.38
  6. Step 6: Final answer
    x = 331,484.42

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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.