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Finding the Third Proportional to 555.88 and 809.13

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Solution

The third proportional to 555.88 and 809.13 is: 1,177.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.88 : 809.13 = 809.13 : x
  2. Step 2: Convert to fraction form
    555.88/809.13 = 809.13/x
  3. Step 3: Cross multiply
    555.88x = 809.13 × 809.13
  4. Step 4: Simplify right side
    555.88x = 654,683.27
  5. Step 5: Solve for x
    x = 654,683.27/555.88
  6. Step 6: Final answer
    x = 1,177.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.