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Finding the Third Proportional to 139,720 and 221,337

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Solution

The third proportional to 139,720 and 221,337 is: 350,630.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,720 : 221,337 = 221,337 : x
  2. Step 2: Convert to fraction form
    139,720/221,337 = 221,337/x
  3. Step 3: Cross multiply
    139,720x = 221,337 × 221,337
  4. Step 4: Simplify right side
    139,720x = 48,990,067,569
  5. Step 5: Solve for x
    x = 48,990,067,569/139,720
  6. Step 6: Final answer
    x = 350,630.31

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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.