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Finding the Third Proportional to 854.75 and 1,209.50

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Solution

The third proportional to 854.75 and 1,209.50 is: 1,711.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.75 : 1,209.50 = 1,209.50 : x
  2. Step 2: Convert to fraction form
    854.75/1,209.50 = 1,209.50/x
  3. Step 3: Cross multiply
    854.75x = 1,209.50 × 1,209.50
  4. Step 4: Simplify right side
    854.75x = 1,462,890.25
  5. Step 5: Solve for x
    x = 1,462,890.25/854.75
  6. Step 6: Final answer
    x = 1,711.48

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.