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Finding the Third Proportional to 139,628 and 221,197

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Solution

The third proportional to 139,628 and 221,197 is: 350,417.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,628 : 221,197 = 221,197 : x
  2. Step 2: Convert to fraction form
    139,628/221,197 = 221,197/x
  3. Step 3: Cross multiply
    139,628x = 221,197 × 221,197
  4. Step 4: Simplify right side
    139,628x = 48,928,112,809
  5. Step 5: Solve for x
    x = 48,928,112,809/139,628
  6. Step 6: Final answer
    x = 350,417.63

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.