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Finding the Third Proportional to 111,788 and 239,572

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Solution

The third proportional to 111,788 and 239,572 is: 513,424.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,788 : 239,572 = 239,572 : x
  2. Step 2: Convert to fraction form
    111,788/239,572 = 239,572/x
  3. Step 3: Cross multiply
    111,788x = 239,572 × 239,572
  4. Step 4: Simplify right side
    111,788x = 57,394,743,184
  5. Step 5: Solve for x
    x = 57,394,743,184/111,788
  6. Step 6: Final answer
    x = 513,424.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.