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Finding the Third Proportional to 139,712.75 and 221,326

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Solution

The third proportional to 139,712.75 and 221,326 is: 350,613.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,712.75 : 221,326 = 221,326 : x
  2. Step 2: Convert to fraction form
    139,712.75/221,326 = 221,326/x
  3. Step 3: Cross multiply
    139,712.75x = 221,326 × 221,326
  4. Step 4: Simplify right side
    139,712.75x = 48,985,198,276
  5. Step 5: Solve for x
    x = 48,985,198,276/139,712.75
  6. Step 6: Final answer
    x = 350,613.66

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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.