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Finding the Third Proportional to 359.44 and 763.80

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Solution

The third proportional to 359.44 and 763.80 is: 1,623.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.44 : 763.80 = 763.80 : x
  2. Step 2: Convert to fraction form
    359.44/763.80 = 763.80/x
  3. Step 3: Cross multiply
    359.44x = 763.80 × 763.80
  4. Step 4: Simplify right side
    359.44x = 583,397.60
  5. Step 5: Solve for x
    x = 583,397.60/359.44
  6. Step 6: Final answer
    x = 1,623.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.