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Finding the Third Proportional to 381,448 and 603,880

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Solution

The third proportional to 381,448 and 603,880 is: 956,017.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,448 : 603,880 = 603,880 : x
  2. Step 2: Convert to fraction form
    381,448/603,880 = 603,880/x
  3. Step 3: Cross multiply
    381,448x = 603,880 × 603,880
  4. Step 4: Simplify right side
    381,448x = 364,671,054,400
  5. Step 5: Solve for x
    x = 364,671,054,400/381,448
  6. Step 6: Final answer
    x = 956,017.74

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.