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Finding the Third Proportional to 856.97 and 1,283.34

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Solution

The third proportional to 856.97 and 1,283.34 is: 1,921.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.97 : 1,283.34 = 1,283.34 : x
  2. Step 2: Convert to fraction form
    856.97/1,283.34 = 1,283.34/x
  3. Step 3: Cross multiply
    856.97x = 1,283.34 × 1,283.34
  4. Step 4: Simplify right side
    856.97x = 1,646,971.18
  5. Step 5: Solve for x
    x = 1,646,971.18/856.97
  6. Step 6: Final answer
    x = 1,921.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.