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Finding the Third Proportional to 545.48 and 1,178.16

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Solution

The third proportional to 545.48 and 1,178.16 is: 2,544.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.48 : 1,178.16 = 1,178.16 : x
  2. Step 2: Convert to fraction form
    545.48/1,178.16 = 1,178.16/x
  3. Step 3: Cross multiply
    545.48x = 1,178.16 × 1,178.16
  4. Step 4: Simplify right side
    545.48x = 1,388,052.15
  5. Step 5: Solve for x
    x = 1,388,052.15/545.48
  6. Step 6: Final answer
    x = 2,544.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.