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Finding the Third Proportional to 856.13 and 1,280.67

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Solution

The third proportional to 856.13 and 1,280.67 is: 1,915.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.13 : 1,280.67 = 1,280.67 : x
  2. Step 2: Convert to fraction form
    856.13/1,280.67 = 1,280.67/x
  3. Step 3: Cross multiply
    856.13x = 1,280.67 × 1,280.67
  4. Step 4: Simplify right side
    856.13x = 1,640,120.45
  5. Step 5: Solve for x
    x = 1,640,120.45/856.13
  6. Step 6: Final answer
    x = 1,915.75

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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.