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Finding the Third Proportional to 878.50 and 1,398.75

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Solution

The third proportional to 878.50 and 1,398.75 is: 2,227.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.50 : 1,398.75 = 1,398.75 : x
  2. Step 2: Convert to fraction form
    878.50/1,398.75 = 1,398.75/x
  3. Step 3: Cross multiply
    878.50x = 1,398.75 × 1,398.75
  4. Step 4: Simplify right side
    878.50x = 1,956,501.56
  5. Step 5: Solve for x
    x = 1,956,501.56/878.50
  6. Step 6: Final answer
    x = 2,227.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.