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Finding the Third Proportional to 351,221 and 522,943

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Solution

The third proportional to 351,221 and 522,943 is: 778,624.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,221 : 522,943 = 522,943 : x
  2. Step 2: Convert to fraction form
    351,221/522,943 = 522,943/x
  3. Step 3: Cross multiply
    351,221x = 522,943 × 522,943
  4. Step 4: Simplify right side
    351,221x = 273,469,381,249
  5. Step 5: Solve for x
    x = 273,469,381,249/351,221
  6. Step 6: Final answer
    x = 778,624.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.