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Finding the Third Proportional to 208,447 and 316,883

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Solution

The third proportional to 208,447 and 316,883 is: 481,728.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,447 : 316,883 = 316,883 : x
  2. Step 2: Convert to fraction form
    208,447/316,883 = 316,883/x
  3. Step 3: Cross multiply
    208,447x = 316,883 × 316,883
  4. Step 4: Simplify right side
    208,447x = 100,414,835,689
  5. Step 5: Solve for x
    x = 100,414,835,689/208,447
  6. Step 6: Final answer
    x = 481,728.38

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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.