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Finding the Third Proportional to 139,776 and 221,424

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Solution

The third proportional to 139,776 and 221,424 is: 350,765.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,776 : 221,424 = 221,424 : x
  2. Step 2: Convert to fraction form
    139,776/221,424 = 221,424/x
  3. Step 3: Cross multiply
    139,776x = 221,424 × 221,424
  4. Step 4: Simplify right side
    139,776x = 49,028,587,776
  5. Step 5: Solve for x
    x = 49,028,587,776/139,776
  6. Step 6: Final answer
    x = 350,765.42

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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.