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Finding the Third Proportional to 381,087 and 804,942

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Solution

The third proportional to 381,087 and 804,942 is: 1,700,219.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,087 : 804,942 = 804,942 : x
  2. Step 2: Convert to fraction form
    381,087/804,942 = 804,942/x
  3. Step 3: Cross multiply
    381,087x = 804,942 × 804,942
  4. Step 4: Simplify right side
    381,087x = 647,931,623,364
  5. Step 5: Solve for x
    x = 647,931,623,364/381,087
  6. Step 6: Final answer
    x = 1,700,219.70

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.