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Finding the Third Proportional to 693.88 and 1,005.22

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Solution

The third proportional to 693.88 and 1,005.22 is: 1,456.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.88 : 1,005.22 = 1,005.22 : x
  2. Step 2: Convert to fraction form
    693.88/1,005.22 = 1,005.22/x
  3. Step 3: Cross multiply
    693.88x = 1,005.22 × 1,005.22
  4. Step 4: Simplify right side
    693.88x = 1,010,472.59
  5. Step 5: Solve for x
    x = 1,010,472.59/693.88
  6. Step 6: Final answer
    x = 1,456.27

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.