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Finding the Third Proportional to 277,054 and 421,413

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Solution

The third proportional to 277,054 and 421,413 is: 640,990.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,054 : 421,413 = 421,413 : x
  2. Step 2: Convert to fraction form
    277,054/421,413 = 421,413/x
  3. Step 3: Cross multiply
    277,054x = 421,413 × 421,413
  4. Step 4: Simplify right side
    277,054x = 177,588,916,569
  5. Step 5: Solve for x
    x = 177,588,916,569/277,054
  6. Step 6: Final answer
    x = 640,990.26

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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.