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Finding the Third Proportional to 436.31 and 772.13

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Solution

The third proportional to 436.31 and 772.13 is: 1,366.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.31 : 772.13 = 772.13 : x
  2. Step 2: Convert to fraction form
    436.31/772.13 = 772.13/x
  3. Step 3: Cross multiply
    436.31x = 772.13 × 772.13
  4. Step 4: Simplify right side
    436.31x = 596,177.02
  5. Step 5: Solve for x
    x = 596,177.02/436.31
  6. Step 6: Final answer
    x = 1,366.40

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.