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Finding the Third Proportional to 354,220 and 764,413

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Solution

The third proportional to 354,220 and 764,413 is: 1,649,616.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,220 : 764,413 = 764,413 : x
  2. Step 2: Convert to fraction form
    354,220/764,413 = 764,413/x
  3. Step 3: Cross multiply
    354,220x = 764,413 × 764,413
  4. Step 4: Simplify right side
    354,220x = 584,327,234,569
  5. Step 5: Solve for x
    x = 584,327,234,569/354,220
  6. Step 6: Final answer
    x = 1,649,616.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.