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Finding the Third Proportional to 349,215 and 762,399

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Solution

The third proportional to 349,215 and 762,399 is: 1,664,453.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,215 : 762,399 = 762,399 : x
  2. Step 2: Convert to fraction form
    349,215/762,399 = 762,399/x
  3. Step 3: Cross multiply
    349,215x = 762,399 × 762,399
  4. Step 4: Simplify right side
    349,215x = 581,252,235,201
  5. Step 5: Solve for x
    x = 581,252,235,201/349,215
  6. Step 6: Final answer
    x = 1,664,453.80

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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.