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Finding the Third Proportional to 359.02 and 549.21

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Solution

The third proportional to 359.02 and 549.21 is: 840.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.02 : 549.21 = 549.21 : x
  2. Step 2: Convert to fraction form
    359.02/549.21 = 549.21/x
  3. Step 3: Cross multiply
    359.02x = 549.21 × 549.21
  4. Step 4: Simplify right side
    359.02x = 301,632.65
  5. Step 5: Solve for x
    x = 301,632.65/359.02
  6. Step 6: Final answer
    x = 840.17

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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.