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Finding the Third Proportional to 401.53 and 875.86

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Solution

The third proportional to 401.53 and 875.86 is: 1,910.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.53 : 875.86 = 875.86 : x
  2. Step 2: Convert to fraction form
    401.53/875.86 = 875.86/x
  3. Step 3: Cross multiply
    401.53x = 875.86 × 875.86
  4. Step 4: Simplify right side
    401.53x = 767,129.64
  5. Step 5: Solve for x
    x = 767,129.64/401.53
  6. Step 6: Final answer
    x = 1,910.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.