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Finding the Third Proportional to 247.69 and 540.19

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Solution

The third proportional to 247.69 and 540.19 is: 1,178.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.69 : 540.19 = 540.19 : x
  2. Step 2: Convert to fraction form
    247.69/540.19 = 540.19/x
  3. Step 3: Cross multiply
    247.69x = 540.19 × 540.19
  4. Step 4: Simplify right side
    247.69x = 291,802.54
  5. Step 5: Solve for x
    x = 291,802.54/247.69
  6. Step 6: Final answer
    x = 1,178.11

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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.