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Finding the Third Proportional to 155,982.38 and 319,357.69

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Solution

The third proportional to 155,982.38 and 319,357.69 is: 653,851.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,982.38 : 319,357.69 = 319,357.69 : x
  2. Step 2: Convert to fraction form
    155,982.38/319,357.69 = 319,357.69/x
  3. Step 3: Cross multiply
    155,982.38x = 319,357.69 × 319,357.69
  4. Step 4: Simplify right side
    155,982.38x = 101,989,332,565.35
  5. Step 5: Solve for x
    x = 101,989,332,565.35/155,982.38
  6. Step 6: Final answer
    x = 653,851.65

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.