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Finding the Third Proportional to 207,238 and 371,834

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Solution

The third proportional to 207,238 and 371,834 is: 667,158.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,238 : 371,834 = 371,834 : x
  2. Step 2: Convert to fraction form
    207,238/371,834 = 371,834/x
  3. Step 3: Cross multiply
    207,238x = 371,834 × 371,834
  4. Step 4: Simplify right side
    207,238x = 138,260,523,556
  5. Step 5: Solve for x
    x = 138,260,523,556/207,238
  6. Step 6: Final answer
    x = 667,158.16

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.