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Finding the Third Proportional to 454,680 and 679,212

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Solution

The third proportional to 454,680 and 679,212 is: 1,014,623.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,680 : 679,212 = 679,212 : x
  2. Step 2: Convert to fraction form
    454,680/679,212 = 679,212/x
  3. Step 3: Cross multiply
    454,680x = 679,212 × 679,212
  4. Step 4: Simplify right side
    454,680x = 461,328,940,944
  5. Step 5: Solve for x
    x = 461,328,940,944/454,680
  6. Step 6: Final answer
    x = 1,014,623.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.