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Finding the Third Proportional to 188,904 and 415,068

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Solution

The third proportional to 188,904 and 415,068 is: 912,005.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,904 : 415,068 = 415,068 : x
  2. Step 2: Convert to fraction form
    188,904/415,068 = 415,068/x
  3. Step 3: Cross multiply
    188,904x = 415,068 × 415,068
  4. Step 4: Simplify right side
    188,904x = 172,281,444,624
  5. Step 5: Solve for x
    x = 172,281,444,624/188,904
  6. Step 6: Final answer
    x = 912,005.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.