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Finding the Third Proportional to 461.75 and 693.13

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Solution

The third proportional to 461.75 and 693.13 is: 1,040.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.75 : 693.13 = 693.13 : x
  2. Step 2: Convert to fraction form
    461.75/693.13 = 693.13/x
  3. Step 3: Cross multiply
    461.75x = 693.13 × 693.13
  4. Step 4: Simplify right side
    461.75x = 480,422.27
  5. Step 5: Solve for x
    x = 480,422.27/461.75
  6. Step 6: Final answer
    x = 1,040.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.