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Finding the Third Proportional to 354,908 and 726,400

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Solution

The third proportional to 354,908 and 726,400 is: 1,486,742.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,908 : 726,400 = 726,400 : x
  2. Step 2: Convert to fraction form
    354,908/726,400 = 726,400/x
  3. Step 3: Cross multiply
    354,908x = 726,400 × 726,400
  4. Step 4: Simplify right side
    354,908x = 527,656,960,000
  5. Step 5: Solve for x
    x = 527,656,960,000/354,908
  6. Step 6: Final answer
    x = 1,486,742.93

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.