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Finding the Third Proportional to 269,424 and 418,356

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Solution

The third proportional to 269,424 and 418,356 is: 649,614.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,424 : 418,356 = 418,356 : x
  2. Step 2: Convert to fraction form
    269,424/418,356 = 418,356/x
  3. Step 3: Cross multiply
    269,424x = 418,356 × 418,356
  4. Step 4: Simplify right side
    269,424x = 175,021,742,736
  5. Step 5: Solve for x
    x = 175,021,742,736/269,424
  6. Step 6: Final answer
    x = 649,614.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.