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Finding the Third Proportional to 267,048 and 415,890

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Solution

The third proportional to 267,048 and 415,890 is: 647,690.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,048 : 415,890 = 415,890 : x
  2. Step 2: Convert to fraction form
    267,048/415,890 = 415,890/x
  3. Step 3: Cross multiply
    267,048x = 415,890 × 415,890
  4. Step 4: Simplify right side
    267,048x = 172,964,492,100
  5. Step 5: Solve for x
    x = 172,964,492,100/267,048
  6. Step 6: Final answer
    x = 647,690.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.