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Finding the Third Proportional to 315,210 and 682,924

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Solution

The third proportional to 315,210 and 682,924 is: 1,479,601.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,210 : 682,924 = 682,924 : x
  2. Step 2: Convert to fraction form
    315,210/682,924 = 682,924/x
  3. Step 3: Cross multiply
    315,210x = 682,924 × 682,924
  4. Step 4: Simplify right side
    315,210x = 466,385,189,776
  5. Step 5: Solve for x
    x = 466,385,189,776/315,210
  6. Step 6: Final answer
    x = 1,479,601.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.