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Finding the Third Proportional to 315,538 and 679,190

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Solution

The third proportional to 315,538 and 679,190 is: 1,461,944.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,538 : 679,190 = 679,190 : x
  2. Step 2: Convert to fraction form
    315,538/679,190 = 679,190/x
  3. Step 3: Cross multiply
    315,538x = 679,190 × 679,190
  4. Step 4: Simplify right side
    315,538x = 461,299,056,100
  5. Step 5: Solve for x
    x = 461,299,056,100/315,538
  6. Step 6: Final answer
    x = 1,461,944.54

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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.