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Finding the Third Proportional to 274,109 and 411,164

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Solution

The third proportional to 274,109 and 411,164 is: 616,746.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,109 : 411,164 = 411,164 : x
  2. Step 2: Convert to fraction form
    274,109/411,164 = 411,164/x
  3. Step 3: Cross multiply
    274,109x = 411,164 × 411,164
  4. Step 4: Simplify right side
    274,109x = 169,055,834,896
  5. Step 5: Solve for x
    x = 169,055,834,896/274,109
  6. Step 6: Final answer
    x = 616,746.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.