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Finding the Third Proportional to 1,262.13 and 2,587.25

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Solution

The third proportional to 1,262.13 and 2,587.25 is: 5,303.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.13 : 2,587.25 = 2,587.25 : x
  2. Step 2: Convert to fraction form
    1,262.13/2,587.25 = 2,587.25/x
  3. Step 3: Cross multiply
    1,262.13x = 2,587.25 × 2,587.25
  4. Step 4: Simplify right side
    1,262.13x = 6,693,862.56
  5. Step 5: Solve for x
    x = 6,693,862.56/1,262.13
  6. Step 6: Final answer
    x = 5,303.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.