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Finding the Third Proportional to 139,396 and 331,210

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Solution

The third proportional to 139,396 and 331,210 is: 786,967.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,396 : 331,210 = 331,210 : x
  2. Step 2: Convert to fraction form
    139,396/331,210 = 331,210/x
  3. Step 3: Cross multiply
    139,396x = 331,210 × 331,210
  4. Step 4: Simplify right side
    139,396x = 109,700,064,100
  5. Step 5: Solve for x
    x = 109,700,064,100/139,396
  6. Step 6: Final answer
    x = 786,967.09

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.