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Finding the Third Proportional to 397.83 and 876.66

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Solution

The third proportional to 397.83 and 876.66 is: 1,931.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.83 : 876.66 = 876.66 : x
  2. Step 2: Convert to fraction form
    397.83/876.66 = 876.66/x
  3. Step 3: Cross multiply
    397.83x = 876.66 × 876.66
  4. Step 4: Simplify right side
    397.83x = 768,526.18
  5. Step 5: Solve for x
    x = 768,526.18/397.83
  6. Step 6: Final answer
    x = 1,931.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.