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Finding the Third Proportional to 209,664 and 279,334

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Solution

The third proportional to 209,664 and 279,334 is: 372,154.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,664 : 279,334 = 279,334 : x
  2. Step 2: Convert to fraction form
    209,664/279,334 = 279,334/x
  3. Step 3: Cross multiply
    209,664x = 279,334 × 279,334
  4. Step 4: Simplify right side
    209,664x = 78,027,483,556
  5. Step 5: Solve for x
    x = 78,027,483,556/209,664
  6. Step 6: Final answer
    x = 372,154.89

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.