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Finding the Third Proportional to 2,139.19 and 4,330.69

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Solution

The third proportional to 2,139.19 and 4,330.69 is: 8,767.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.19 : 4,330.69 = 4,330.69 : x
  2. Step 2: Convert to fraction form
    2,139.19/4,330.69 = 4,330.69/x
  3. Step 3: Cross multiply
    2,139.19x = 4,330.69 × 4,330.69
  4. Step 4: Simplify right side
    2,139.19x = 18,754,854.22
  5. Step 5: Solve for x
    x = 18,754,854.22/2,139.19
  6. Step 6: Final answer
    x = 8,767.28

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.