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Finding the Third Proportional to 315,549 and 679,212

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Solution

The third proportional to 315,549 and 679,212 is: 1,461,988.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,549 : 679,212 = 679,212 : x
  2. Step 2: Convert to fraction form
    315,549/679,212 = 679,212/x
  3. Step 3: Cross multiply
    315,549x = 679,212 × 679,212
  4. Step 4: Simplify right side
    315,549x = 461,328,940,944
  5. Step 5: Solve for x
    x = 461,328,940,944/315,549
  6. Step 6: Final answer
    x = 1,461,988.28

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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.