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Finding the Third Proportional to 515.06 and 766.78

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Solution

The third proportional to 515.06 and 766.78 is: 1,141.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.06 : 766.78 = 766.78 : x
  2. Step 2: Convert to fraction form
    515.06/766.78 = 766.78/x
  3. Step 3: Cross multiply
    515.06x = 766.78 × 766.78
  4. Step 4: Simplify right side
    515.06x = 587,953.49
  5. Step 5: Solve for x
    x = 587,953.49/515.06
  6. Step 6: Final answer
    x = 1,141.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.