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Finding the Third Proportional to 1,282.13 and 1,388.63

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Solution

The third proportional to 1,282.13 and 1,388.63 is: 1,503.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.13 : 1,388.63 = 1,388.63 : x
  2. Step 2: Convert to fraction form
    1,282.13/1,388.63 = 1,388.63/x
  3. Step 3: Cross multiply
    1,282.13x = 1,388.63 × 1,388.63
  4. Step 4: Simplify right side
    1,282.13x = 1,928,279.39
  5. Step 5: Solve for x
    x = 1,928,279.39/1,282.13
  6. Step 6: Final answer
    x = 1,503.97

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.