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Finding the Third Proportional to 102,129.75 and 219,980.25

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Solution

The third proportional to 102,129.75 and 219,980.25 is: 473,821.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,129.75 : 219,980.25 = 219,980.25 : x
  2. Step 2: Convert to fraction form
    102,129.75/219,980.25 = 219,980.25/x
  3. Step 3: Cross multiply
    102,129.75x = 219,980.25 × 219,980.25
  4. Step 4: Simplify right side
    102,129.75x = 48,391,310,390.06
  5. Step 5: Solve for x
    x = 48,391,310,390.06/102,129.75
  6. Step 6: Final answer
    x = 473,821.88

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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.