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Finding the Third Proportional to 1,009.28 and 2,173.16

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Solution

The third proportional to 1,009.28 and 2,173.16 is: 4,679.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.28 : 2,173.16 = 2,173.16 : x
  2. Step 2: Convert to fraction form
    1,009.28/2,173.16 = 2,173.16/x
  3. Step 3: Cross multiply
    1,009.28x = 2,173.16 × 2,173.16
  4. Step 4: Simplify right side
    1,009.28x = 4,722,608.09
  5. Step 5: Solve for x
    x = 4,722,608.09/1,009.28
  6. Step 6: Final answer
    x = 4,679.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.