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Finding the Third Proportional to 197,920.50 and 415,279.50

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Solution

The third proportional to 197,920.50 and 415,279.50 is: 871,345.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,920.50 : 415,279.50 = 415,279.50 : x
  2. Step 2: Convert to fraction form
    197,920.50/415,279.50 = 415,279.50/x
  3. Step 3: Cross multiply
    197,920.50x = 415,279.50 × 415,279.50
  4. Step 4: Simplify right side
    197,920.50x = 172,457,063,120.25
  5. Step 5: Solve for x
    x = 172,457,063,120.25/197,920.50
  6. Step 6: Final answer
    x = 871,345.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.