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Finding the Third Proportional to 359.19 and 549.13

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Solution

The third proportional to 359.19 and 549.13 is: 839.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.19 : 549.13 = 549.13 : x
  2. Step 2: Convert to fraction form
    359.19/549.13 = 549.13/x
  3. Step 3: Cross multiply
    359.19x = 549.13 × 549.13
  4. Step 4: Simplify right side
    359.19x = 301,538.27
  5. Step 5: Solve for x
    x = 301,538.27/359.19
  6. Step 6: Final answer
    x = 839.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.