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Finding the Third Proportional to 123,678 and 263,349

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Solution

The third proportional to 123,678 and 263,349 is: 560,752.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,678 : 263,349 = 263,349 : x
  2. Step 2: Convert to fraction form
    123,678/263,349 = 263,349/x
  3. Step 3: Cross multiply
    123,678x = 263,349 × 263,349
  4. Step 4: Simplify right side
    123,678x = 69,352,695,801
  5. Step 5: Solve for x
    x = 69,352,695,801/123,678
  6. Step 6: Final answer
    x = 560,752.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.