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Finding the Third Proportional to 412,915 and 603,438

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Solution

The third proportional to 412,915 and 603,438 is: 881,870.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,915 : 603,438 = 603,438 : x
  2. Step 2: Convert to fraction form
    412,915/603,438 = 603,438/x
  3. Step 3: Cross multiply
    412,915x = 603,438 × 603,438
  4. Step 4: Simplify right side
    412,915x = 364,137,419,844
  5. Step 5: Solve for x
    x = 364,137,419,844/412,915
  6. Step 6: Final answer
    x = 881,870.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.