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Finding the Third Proportional to 139,322 and 221,414

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Solution

The third proportional to 139,322 and 221,414 is: 351,876.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,322 : 221,414 = 221,414 : x
  2. Step 2: Convert to fraction form
    139,322/221,414 = 221,414/x
  3. Step 3: Cross multiply
    139,322x = 221,414 × 221,414
  4. Step 4: Simplify right side
    139,322x = 49,024,159,396
  5. Step 5: Solve for x
    x = 49,024,159,396/139,322
  6. Step 6: Final answer
    x = 351,876.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.