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Finding the Third Proportional to 208,962 and 315,387

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Solution

The third proportional to 208,962 and 315,387 is: 476,014.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,962 : 315,387 = 315,387 : x
  2. Step 2: Convert to fraction form
    208,962/315,387 = 315,387/x
  3. Step 3: Cross multiply
    208,962x = 315,387 × 315,387
  4. Step 4: Simplify right side
    208,962x = 99,468,959,769
  5. Step 5: Solve for x
    x = 99,468,959,769/208,962
  6. Step 6: Final answer
    x = 476,014.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.