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Finding the Third Proportional to 423.19 and 642.19

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Solution

The third proportional to 423.19 and 642.19 is: 974.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.19 : 642.19 = 642.19 : x
  2. Step 2: Convert to fraction form
    423.19/642.19 = 642.19/x
  3. Step 3: Cross multiply
    423.19x = 642.19 × 642.19
  4. Step 4: Simplify right side
    423.19x = 412,404.79
  5. Step 5: Solve for x
    x = 412,404.79/423.19
  6. Step 6: Final answer
    x = 974.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.