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Finding the Third Proportional to 867.80 and 1,271.32

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Solution

The third proportional to 867.80 and 1,271.32 is: 1,862.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.80 : 1,271.32 = 1,271.32 : x
  2. Step 2: Convert to fraction form
    867.80/1,271.32 = 1,271.32/x
  3. Step 3: Cross multiply
    867.80x = 1,271.32 × 1,271.32
  4. Step 4: Simplify right side
    867.80x = 1,616,255.34
  5. Step 5: Solve for x
    x = 1,616,255.34/867.80
  6. Step 6: Final answer
    x = 1,862.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.