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Finding the Third Proportional to 875.50 and 1,406.75

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Solution

The third proportional to 875.50 and 1,406.75 is: 2,260.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.50 : 1,406.75 = 1,406.75 : x
  2. Step 2: Convert to fraction form
    875.50/1,406.75 = 1,406.75/x
  3. Step 3: Cross multiply
    875.50x = 1,406.75 × 1,406.75
  4. Step 4: Simplify right side
    875.50x = 1,978,945.56
  5. Step 5: Solve for x
    x = 1,978,945.56/875.50
  6. Step 6: Final answer
    x = 2,260.36

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.