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Finding the Third Proportional to 423.77 and 874.76

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Solution

The third proportional to 423.77 and 874.76 is: 1,805.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.77 : 874.76 = 874.76 : x
  2. Step 2: Convert to fraction form
    423.77/874.76 = 874.76/x
  3. Step 3: Cross multiply
    423.77x = 874.76 × 874.76
  4. Step 4: Simplify right side
    423.77x = 765,201.23
  5. Step 5: Solve for x
    x = 765,201.23/423.77
  6. Step 6: Final answer
    x = 1,805.68

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.