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Finding the Third Proportional to 693.76 and 1,486.23

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Solution

The third proportional to 693.76 and 1,486.23 is: 3,183.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.76 : 1,486.23 = 1,486.23 : x
  2. Step 2: Convert to fraction form
    693.76/1,486.23 = 1,486.23/x
  3. Step 3: Cross multiply
    693.76x = 1,486.23 × 1,486.23
  4. Step 4: Simplify right side
    693.76x = 2,208,869.40
  5. Step 5: Solve for x
    x = 2,208,869.40/693.76
  6. Step 6: Final answer
    x = 3,183.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.