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Finding the Third Proportional to 2,189.47 and 3,138.24

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Solution

The third proportional to 2,189.47 and 3,138.24 is: 4,498.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.47 : 3,138.24 = 3,138.24 : x
  2. Step 2: Convert to fraction form
    2,189.47/3,138.24 = 3,138.24/x
  3. Step 3: Cross multiply
    2,189.47x = 3,138.24 × 3,138.24
  4. Step 4: Simplify right side
    2,189.47x = 9,848,547.46
  5. Step 5: Solve for x
    x = 9,848,547.46/2,189.47
  6. Step 6: Final answer
    x = 4,498.14

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.