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Finding the Third Proportional to 155,964.75 and 319,306.78

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Solution

The third proportional to 155,964.75 and 319,306.78 is: 653,717.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,964.75 : 319,306.78 = 319,306.78 : x
  2. Step 2: Convert to fraction form
    155,964.75/319,306.78 = 319,306.78/x
  3. Step 3: Cross multiply
    155,964.75x = 319,306.78 × 319,306.78
  4. Step 4: Simplify right side
    155,964.75x = 101,956,820,552.24
  5. Step 5: Solve for x
    x = 101,956,820,552.24/155,964.75
  6. Step 6: Final answer
    x = 653,717.08

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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.