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Finding the Third Proportional to 543.45 and 817.66

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Solution

The third proportional to 543.45 and 817.66 is: 1,230.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.45 : 817.66 = 817.66 : x
  2. Step 2: Convert to fraction form
    543.45/817.66 = 817.66/x
  3. Step 3: Cross multiply
    543.45x = 817.66 × 817.66
  4. Step 4: Simplify right side
    543.45x = 668,574.52
  5. Step 5: Solve for x
    x = 668,574.52/543.45
  6. Step 6: Final answer
    x = 1,230.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.