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Finding the Third Proportional to 359.67 and 782.70

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Solution

The third proportional to 359.67 and 782.70 is: 1,703.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.67 : 782.70 = 782.70 : x
  2. Step 2: Convert to fraction form
    359.67/782.70 = 782.70/x
  3. Step 3: Cross multiply
    359.67x = 782.70 × 782.70
  4. Step 4: Simplify right side
    359.67x = 612,621.70
  5. Step 5: Solve for x
    x = 612,621.70/359.67
  6. Step 6: Final answer
    x = 1,703.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.