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Finding the Third Proportional to 359.86 and 787.97

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Solution

The third proportional to 359.86 and 787.97 is: 1,725.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.86 : 787.97 = 787.97 : x
  2. Step 2: Convert to fraction form
    359.86/787.97 = 787.97/x
  3. Step 3: Cross multiply
    359.86x = 787.97 × 787.97
  4. Step 4: Simplify right side
    359.86x = 620,894.75
  5. Step 5: Solve for x
    x = 620,894.75/359.86
  6. Step 6: Final answer
    x = 1,725.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.