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Finding the Third Proportional to 349,221 and 762,412

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Solution

The third proportional to 349,221 and 762,412 is: 1,664,481.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,221 : 762,412 = 762,412 : x
  2. Step 2: Convert to fraction form
    349,221/762,412 = 762,412/x
  3. Step 3: Cross multiply
    349,221x = 762,412 × 762,412
  4. Step 4: Simplify right side
    349,221x = 581,272,057,744
  5. Step 5: Solve for x
    x = 581,272,057,744/349,221
  6. Step 6: Final answer
    x = 1,664,481.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.