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Finding the Third Proportional to 349,216 and 762,400

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Solution

The third proportional to 349,216 and 762,400 is: 1,664,453.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,216 : 762,400 = 762,400 : x
  2. Step 2: Convert to fraction form
    349,216/762,400 = 762,400/x
  3. Step 3: Cross multiply
    349,216x = 762,400 × 762,400
  4. Step 4: Simplify right side
    349,216x = 581,253,760,000
  5. Step 5: Solve for x
    x = 581,253,760,000/349,216
  6. Step 6: Final answer
    x = 1,664,453.40

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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.