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Finding the Third Proportional to 856.13 and 1,202.06

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Solution

The third proportional to 856.13 and 1,202.06 is: 1,687.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.13 : 1,202.06 = 1,202.06 : x
  2. Step 2: Convert to fraction form
    856.13/1,202.06 = 1,202.06/x
  3. Step 3: Cross multiply
    856.13x = 1,202.06 × 1,202.06
  4. Step 4: Simplify right side
    856.13x = 1,444,954.25
  5. Step 5: Solve for x
    x = 1,444,954.25/856.13
  6. Step 6: Final answer
    x = 1,687.78

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.