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Finding the Third Proportional to 208,910 and 318,261

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Solution

The third proportional to 208,910 and 318,261 is: 484,850.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,910 : 318,261 = 318,261 : x
  2. Step 2: Convert to fraction form
    208,910/318,261 = 318,261/x
  3. Step 3: Cross multiply
    208,910x = 318,261 × 318,261
  4. Step 4: Simplify right side
    208,910x = 101,290,064,121
  5. Step 5: Solve for x
    x = 101,290,064,121/208,910
  6. Step 6: Final answer
    x = 484,850.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.