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Finding the Third Proportional to 653.13 and 979.69

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Solution

The third proportional to 653.13 and 979.69 is: 1,469.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.13 : 979.69 = 979.69 : x
  2. Step 2: Convert to fraction form
    653.13/979.69 = 979.69/x
  3. Step 3: Cross multiply
    653.13x = 979.69 × 979.69
  4. Step 4: Simplify right side
    653.13x = 959,787.60
  5. Step 5: Solve for x
    x = 959,787.60/653.13
  6. Step 6: Final answer
    x = 1,469.53

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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.