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Finding the Third Proportional to 503.86 and 681.12

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Solution

The third proportional to 503.86 and 681.12 is: 920.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.86 : 681.12 = 681.12 : x
  2. Step 2: Convert to fraction form
    503.86/681.12 = 681.12/x
  3. Step 3: Cross multiply
    503.86x = 681.12 × 681.12
  4. Step 4: Simplify right side
    503.86x = 463,920.62
  5. Step 5: Solve for x
    x = 463,920.62/503.86
  6. Step 6: Final answer
    x = 920.73

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.