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Finding the Third Proportional to 277,206 and 421,641

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Solution

The third proportional to 277,206 and 421,641 is: 641,332.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,206 : 421,641 = 421,641 : x
  2. Step 2: Convert to fraction form
    277,206/421,641 = 421,641/x
  3. Step 3: Cross multiply
    277,206x = 421,641 × 421,641
  4. Step 4: Simplify right side
    277,206x = 177,781,132,881
  5. Step 5: Solve for x
    x = 177,781,132,881/277,206
  6. Step 6: Final answer
    x = 641,332.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.