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Finding the Third Proportional to 119,212 and 258,928

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Solution

The third proportional to 119,212 and 258,928 is: 562,390.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,212 : 258,928 = 258,928 : x
  2. Step 2: Convert to fraction form
    119,212/258,928 = 258,928/x
  3. Step 3: Cross multiply
    119,212x = 258,928 × 258,928
  4. Step 4: Simplify right side
    119,212x = 67,043,709,184
  5. Step 5: Solve for x
    x = 67,043,709,184/119,212
  6. Step 6: Final answer
    x = 562,390.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.