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Finding the Third Proportional to 499.61 and 610.98

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Solution

The third proportional to 499.61 and 610.98 is: 747.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.61 : 610.98 = 610.98 : x
  2. Step 2: Convert to fraction form
    499.61/610.98 = 610.98/x
  3. Step 3: Cross multiply
    499.61x = 610.98 × 610.98
  4. Step 4: Simplify right side
    499.61x = 373,297.13
  5. Step 5: Solve for x
    x = 373,297.13/499.61
  6. Step 6: Final answer
    x = 747.18

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.