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Finding the Third Proportional to 715.50 and 775.13

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Solution

The third proportional to 715.50 and 775.13 is: 839.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.50 : 775.13 = 775.13 : x
  2. Step 2: Convert to fraction form
    715.50/775.13 = 775.13/x
  3. Step 3: Cross multiply
    715.50x = 775.13 × 775.13
  4. Step 4: Simplify right side
    715.50x = 600,818.77
  5. Step 5: Solve for x
    x = 600,818.77/715.50
  6. Step 6: Final answer
    x = 839.72

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.