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Finding the Third Proportional to 540.61 and 813.32

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Solution

The third proportional to 540.61 and 813.32 is: 1,223.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.61 : 813.32 = 813.32 : x
  2. Step 2: Convert to fraction form
    540.61/813.32 = 813.32/x
  3. Step 3: Cross multiply
    540.61x = 813.32 × 813.32
  4. Step 4: Simplify right side
    540.61x = 661,485.07
  5. Step 5: Solve for x
    x = 661,485.07/540.61
  6. Step 6: Final answer
    x = 1,223.59

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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.