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Finding the Third Proportional to 511.55 and 1,116.80

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Solution

The third proportional to 511.55 and 1,116.80 is: 2,438.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.55 : 1,116.80 = 1,116.80 : x
  2. Step 2: Convert to fraction form
    511.55/1,116.80 = 1,116.80/x
  3. Step 3: Cross multiply
    511.55x = 1,116.80 × 1,116.80
  4. Step 4: Simplify right side
    511.55x = 1,247,235.26
  5. Step 5: Solve for x
    x = 1,247,235.26/511.55
  6. Step 6: Final answer
    x = 2,438.16

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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.