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Finding the Third Proportional to 217,108 and 309,894

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Solution

The third proportional to 217,108 and 309,894 is: 442,334.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,108 : 309,894 = 309,894 : x
  2. Step 2: Convert to fraction form
    217,108/309,894 = 309,894/x
  3. Step 3: Cross multiply
    217,108x = 309,894 × 309,894
  4. Step 4: Simplify right side
    217,108x = 96,034,291,236
  5. Step 5: Solve for x
    x = 96,034,291,236/217,108
  6. Step 6: Final answer
    x = 442,334.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.