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Finding the Third Proportional to 214,393 and 423,364

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Solution

The third proportional to 214,393 and 423,364 is: 836,021.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,393 : 423,364 = 423,364 : x
  2. Step 2: Convert to fraction form
    214,393/423,364 = 423,364/x
  3. Step 3: Cross multiply
    214,393x = 423,364 × 423,364
  4. Step 4: Simplify right side
    214,393x = 179,237,076,496
  5. Step 5: Solve for x
    x = 179,237,076,496/214,393
  6. Step 6: Final answer
    x = 836,021.12

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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.