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Finding the Third Proportional to 315,605 and 679,324

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Solution

The third proportional to 315,605 and 679,324 is: 1,462,210.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,605 : 679,324 = 679,324 : x
  2. Step 2: Convert to fraction form
    315,605/679,324 = 679,324/x
  3. Step 3: Cross multiply
    315,605x = 679,324 × 679,324
  4. Step 4: Simplify right side
    315,605x = 461,481,096,976
  5. Step 5: Solve for x
    x = 461,481,096,976/315,605
  6. Step 6: Final answer
    x = 1,462,210.98

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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.