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Finding the Third Proportional to 214,468 and 423,553

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Solution

The third proportional to 214,468 and 423,553 is: 836,475.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,468 : 423,553 = 423,553 : x
  2. Step 2: Convert to fraction form
    214,468/423,553 = 423,553/x
  3. Step 3: Cross multiply
    214,468x = 423,553 × 423,553
  4. Step 4: Simplify right side
    214,468x = 179,397,143,809
  5. Step 5: Solve for x
    x = 179,397,143,809/214,468
  6. Step 6: Final answer
    x = 836,475.11

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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.