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Finding the Third Proportional to 103,979.81 and 212,876.44

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Solution

The third proportional to 103,979.81 and 212,876.44 is: 435,819.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,979.81 : 212,876.44 = 212,876.44 : x
  2. Step 2: Convert to fraction form
    103,979.81/212,876.44 = 212,876.44/x
  3. Step 3: Cross multiply
    103,979.81x = 212,876.44 × 212,876.44
  4. Step 4: Simplify right side
    103,979.81x = 45,316,377,642.69
  5. Step 5: Solve for x
    x = 45,316,377,642.69/103,979.81
  6. Step 6: Final answer
    x = 435,819.00

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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.