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Finding the Third Proportional to 647.75 and 925.13

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Solution

The third proportional to 647.75 and 925.13 is: 1,321.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.75 : 925.13 = 925.13 : x
  2. Step 2: Convert to fraction form
    647.75/925.13 = 925.13/x
  3. Step 3: Cross multiply
    647.75x = 925.13 × 925.13
  4. Step 4: Simplify right side
    647.75x = 855,856.27
  5. Step 5: Solve for x
    x = 855,856.27/647.75
  6. Step 6: Final answer
    x = 1,321.28

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.