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Finding the Third Proportional to 381,808 and 790,040

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Solution

The third proportional to 381,808 and 790,040 is: 1,634,756.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,808 : 790,040 = 790,040 : x
  2. Step 2: Convert to fraction form
    381,808/790,040 = 790,040/x
  3. Step 3: Cross multiply
    381,808x = 790,040 × 790,040
  4. Step 4: Simplify right side
    381,808x = 624,163,201,600
  5. Step 5: Solve for x
    x = 624,163,201,600/381,808
  6. Step 6: Final answer
    x = 1,634,756.74

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.