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Finding the Third Proportional to 159,465.38 and 256,938.75

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Solution

The third proportional to 159,465.38 and 256,938.75 is: 413,992.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,465.38 : 256,938.75 = 256,938.75 : x
  2. Step 2: Convert to fraction form
    159,465.38/256,938.75 = 256,938.75/x
  3. Step 3: Cross multiply
    159,465.38x = 256,938.75 × 256,938.75
  4. Step 4: Simplify right side
    159,465.38x = 66,017,521,251.56
  5. Step 5: Solve for x
    x = 66,017,521,251.56/159,465.38
  6. Step 6: Final answer
    x = 413,992.83

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.