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Finding the Third Proportional to 657.48 and 986.24

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Solution

The third proportional to 657.48 and 986.24 is: 1,479.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.48 : 986.24 = 986.24 : x
  2. Step 2: Convert to fraction form
    657.48/986.24 = 986.24/x
  3. Step 3: Cross multiply
    657.48x = 986.24 × 986.24
  4. Step 4: Simplify right side
    657.48x = 972,665.95
  5. Step 5: Solve for x
    x = 972,665.95/657.48
  6. Step 6: Final answer
    x = 1,479.38

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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.