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Finding the Third Proportional to 421.68 and 875.79

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Solution

The third proportional to 421.68 and 875.79 is: 1,818.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.68 : 875.79 = 875.79 : x
  2. Step 2: Convert to fraction form
    421.68/875.79 = 875.79/x
  3. Step 3: Cross multiply
    421.68x = 875.79 × 875.79
  4. Step 4: Simplify right side
    421.68x = 767,004.24
  5. Step 5: Solve for x
    x = 767,004.24/421.68
  6. Step 6: Final answer
    x = 1,818.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.