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Finding the Third Proportional to 139,715 and 221,330

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Solution

The third proportional to 139,715 and 221,330 is: 350,620.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,715 : 221,330 = 221,330 : x
  2. Step 2: Convert to fraction form
    139,715/221,330 = 221,330/x
  3. Step 3: Cross multiply
    139,715x = 221,330 × 221,330
  4. Step 4: Simplify right side
    139,715x = 48,986,968,900
  5. Step 5: Solve for x
    x = 48,986,968,900/139,715
  6. Step 6: Final answer
    x = 350,620.68

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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.