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Finding the Third Proportional to 214,471 and 423,558

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Solution

The third proportional to 214,471 and 423,558 is: 836,483.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,471 : 423,558 = 423,558 : x
  2. Step 2: Convert to fraction form
    214,471/423,558 = 423,558/x
  3. Step 3: Cross multiply
    214,471x = 423,558 × 423,558
  4. Step 4: Simplify right side
    214,471x = 179,401,379,364
  5. Step 5: Solve for x
    x = 179,401,379,364/214,471
  6. Step 6: Final answer
    x = 836,483.16

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.