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Finding the Third Proportional to 423.35 and 561.87

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Solution

The third proportional to 423.35 and 561.87 is: 745.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.35 : 561.87 = 561.87 : x
  2. Step 2: Convert to fraction form
    423.35/561.87 = 561.87/x
  3. Step 3: Cross multiply
    423.35x = 561.87 × 561.87
  4. Step 4: Simplify right side
    423.35x = 315,694.74
  5. Step 5: Solve for x
    x = 315,694.74/423.35
  6. Step 6: Final answer
    x = 745.70

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.