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Finding the Third Proportional to 63,214 and 139,156

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Solution

The third proportional to 63,214 and 139,156 is: 306,330.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,214 : 139,156 = 139,156 : x
  2. Step 2: Convert to fraction form
    63,214/139,156 = 139,156/x
  3. Step 3: Cross multiply
    63,214x = 139,156 × 139,156
  4. Step 4: Simplify right side
    63,214x = 19,364,392,336
  5. Step 5: Solve for x
    x = 19,364,392,336/63,214
  6. Step 6: Final answer
    x = 306,330.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.