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Finding the Third Proportional to 649.75 and 972.88

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Solution

The third proportional to 649.75 and 972.88 is: 1,456.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.75 : 972.88 = 972.88 : x
  2. Step 2: Convert to fraction form
    649.75/972.88 = 972.88/x
  3. Step 3: Cross multiply
    649.75x = 972.88 × 972.88
  4. Step 4: Simplify right side
    649.75x = 946,485.77
  5. Step 5: Solve for x
    x = 946,485.77/649.75
  6. Step 6: Final answer
    x = 1,456.69

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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.