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Finding the Third Proportional to 208,808 and 318,108

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Solution

The third proportional to 208,808 and 318,108 is: 484,620.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,808 : 318,108 = 318,108 : x
  2. Step 2: Convert to fraction form
    208,808/318,108 = 318,108/x
  3. Step 3: Cross multiply
    208,808x = 318,108 × 318,108
  4. Step 4: Simplify right side
    208,808x = 101,192,699,664
  5. Step 5: Solve for x
    x = 101,192,699,664/208,808
  6. Step 6: Final answer
    x = 484,620.80

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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.