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Finding the Third Proportional to 360.70 and 772.66

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Solution

The third proportional to 360.70 and 772.66 is: 1,655.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.70 : 772.66 = 772.66 : x
  2. Step 2: Convert to fraction form
    360.70/772.66 = 772.66/x
  3. Step 3: Cross multiply
    360.70x = 772.66 × 772.66
  4. Step 4: Simplify right side
    360.70x = 597,009.75
  5. Step 5: Solve for x
    x = 597,009.75/360.70
  6. Step 6: Final answer
    x = 1,655.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.