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Finding the Third Proportional to 461.95 and 734.48

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Solution

The third proportional to 461.95 and 734.48 is: 1,167.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.95 : 734.48 = 734.48 : x
  2. Step 2: Convert to fraction form
    461.95/734.48 = 734.48/x
  3. Step 3: Cross multiply
    461.95x = 734.48 × 734.48
  4. Step 4: Simplify right side
    461.95x = 539,467.30
  5. Step 5: Solve for x
    x = 539,467.30/461.95
  6. Step 6: Final answer
    x = 1,167.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.