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Finding the Third Proportional to 406.90 and 875.65

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Solution

The third proportional to 406.90 and 875.65 is: 1,884.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.90 : 875.65 = 875.65 : x
  2. Step 2: Convert to fraction form
    406.90/875.65 = 875.65/x
  3. Step 3: Cross multiply
    406.90x = 875.65 × 875.65
  4. Step 4: Simplify right side
    406.90x = 766,770.45
  5. Step 5: Solve for x
    x = 766,770.45/406.90
  6. Step 6: Final answer
    x = 1,884.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.