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Finding the Third Proportional to 376,090 and 783,286

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Solution

The third proportional to 376,090 and 783,286 is: 1,631,356.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,090 : 783,286 = 783,286 : x
  2. Step 2: Convert to fraction form
    376,090/783,286 = 783,286/x
  3. Step 3: Cross multiply
    376,090x = 783,286 × 783,286
  4. Step 4: Simplify right side
    376,090x = 613,536,957,796
  5. Step 5: Solve for x
    x = 613,536,957,796/376,090
  6. Step 6: Final answer
    x = 1,631,356.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.