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Finding the Third Proportional to 519.56 and 681.13

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Solution

The third proportional to 519.56 and 681.13 is: 892.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.56 : 681.13 = 681.13 : x
  2. Step 2: Convert to fraction form
    519.56/681.13 = 681.13/x
  3. Step 3: Cross multiply
    519.56x = 681.13 × 681.13
  4. Step 4: Simplify right side
    519.56x = 463,931.27
  5. Step 5: Solve for x
    x = 463,931.27/519.56
  6. Step 6: Final answer
    x = 892.93

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.