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Finding the Third Proportional to 857.22 and 1,280.20

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Solution

The third proportional to 857.22 and 1,280.20 is: 1,911.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.22 : 1,280.20 = 1,280.20 : x
  2. Step 2: Convert to fraction form
    857.22/1,280.20 = 1,280.20/x
  3. Step 3: Cross multiply
    857.22x = 1,280.20 × 1,280.20
  4. Step 4: Simplify right side
    857.22x = 1,638,920.04
  5. Step 5: Solve for x
    x = 1,638,920.04/857.22
  6. Step 6: Final answer
    x = 1,911.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.