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Finding the Third Proportional to 366,942 and 808,378

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Solution

The third proportional to 366,942 and 808,378 is: 1,780,867.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,942 : 808,378 = 808,378 : x
  2. Step 2: Convert to fraction form
    366,942/808,378 = 808,378/x
  3. Step 3: Cross multiply
    366,942x = 808,378 × 808,378
  4. Step 4: Simplify right side
    366,942x = 653,474,990,884
  5. Step 5: Solve for x
    x = 653,474,990,884/366,942
  6. Step 6: Final answer
    x = 1,780,867.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.