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Finding the Third Proportional to 315,981 and 658,215

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Solution

The third proportional to 315,981 and 658,215 is: 1,371,117.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,981 : 658,215 = 658,215 : x
  2. Step 2: Convert to fraction form
    315,981/658,215 = 658,215/x
  3. Step 3: Cross multiply
    315,981x = 658,215 × 658,215
  4. Step 4: Simplify right side
    315,981x = 433,246,986,225
  5. Step 5: Solve for x
    x = 433,246,986,225/315,981
  6. Step 6: Final answer
    x = 1,371,117.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.