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Finding the Third Proportional to 192,820 and 415,239

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Solution

The third proportional to 192,820 and 415,239 is: 894,219.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,820 : 415,239 = 415,239 : x
  2. Step 2: Convert to fraction form
    192,820/415,239 = 415,239/x
  3. Step 3: Cross multiply
    192,820x = 415,239 × 415,239
  4. Step 4: Simplify right side
    192,820x = 172,423,427,121
  5. Step 5: Solve for x
    x = 172,423,427,121/192,820
  6. Step 6: Final answer
    x = 894,219.62

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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.