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Finding the Third Proportional to 102,115.69 and 219,808.69

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Solution

The third proportional to 102,115.69 and 219,808.69 is: 473,148.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,115.69 : 219,808.69 = 219,808.69 : x
  2. Step 2: Convert to fraction form
    102,115.69/219,808.69 = 219,808.69/x
  3. Step 3: Cross multiply
    102,115.69x = 219,808.69 × 219,808.69
  4. Step 4: Simplify right side
    102,115.69x = 48,315,859,100.47
  5. Step 5: Solve for x
    x = 48,315,859,100.47/102,115.69
  6. Step 6: Final answer
    x = 473,148.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.