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Finding the Third Proportional to 208,721 and 317,063

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Solution

The third proportional to 208,721 and 317,063 is: 481,642.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,721 : 317,063 = 317,063 : x
  2. Step 2: Convert to fraction form
    208,721/317,063 = 317,063/x
  3. Step 3: Cross multiply
    208,721x = 317,063 × 317,063
  4. Step 4: Simplify right side
    208,721x = 100,528,945,969
  5. Step 5: Solve for x
    x = 100,528,945,969/208,721
  6. Step 6: Final answer
    x = 481,642.70

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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.