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Finding the Third Proportional to 109,215 and 239,844

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Solution

The third proportional to 109,215 and 239,844 is: 526,714.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,215 : 239,844 = 239,844 : x
  2. Step 2: Convert to fraction form
    109,215/239,844 = 239,844/x
  3. Step 3: Cross multiply
    109,215x = 239,844 × 239,844
  4. Step 4: Simplify right side
    109,215x = 57,525,144,336
  5. Step 5: Solve for x
    x = 57,525,144,336/109,215
  6. Step 6: Final answer
    x = 526,714.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.