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Finding the Third Proportional to 21,306.38 and 43,979.63

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Solution

The third proportional to 21,306.38 and 43,979.63 is: 90,780.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,306.38 : 43,979.63 = 43,979.63 : x
  2. Step 2: Convert to fraction form
    21,306.38/43,979.63 = 43,979.63/x
  3. Step 3: Cross multiply
    21,306.38x = 43,979.63 × 43,979.63
  4. Step 4: Simplify right side
    21,306.38x = 1,934,207,415.14
  5. Step 5: Solve for x
    x = 1,934,207,415.14/21,306.38
  6. Step 6: Final answer
    x = 90,780.69

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.