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Finding the Third Proportional to 423.98 and 865.90

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Solution

The third proportional to 423.98 and 865.90 is: 1,768.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.98 : 865.90 = 865.90 : x
  2. Step 2: Convert to fraction form
    423.98/865.90 = 865.90/x
  3. Step 3: Cross multiply
    423.98x = 865.90 × 865.90
  4. Step 4: Simplify right side
    423.98x = 749,780.10
  5. Step 5: Solve for x
    x = 749,780.10/423.98
  6. Step 6: Final answer
    x = 1,768.41

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.