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Finding the Third Proportional to 102,250.69 and 209,589.19

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Solution

The third proportional to 102,250.69 and 209,589.19 is: 429,607.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,250.69 : 209,589.19 = 209,589.19 : x
  2. Step 2: Convert to fraction form
    102,250.69/209,589.19 = 209,589.19/x
  3. Step 3: Cross multiply
    102,250.69x = 209,589.19 × 209,589.19
  4. Step 4: Simplify right side
    102,250.69x = 43,927,627,516.91
  5. Step 5: Solve for x
    x = 43,927,627,516.91/102,250.69
  6. Step 6: Final answer
    x = 429,607.16

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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.