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Finding the Third Proportional to 208,917 and 322,959

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Solution

The third proportional to 208,917 and 322,959 is: 499,253.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,917 : 322,959 = 322,959 : x
  2. Step 2: Convert to fraction form
    208,917/322,959 = 322,959/x
  3. Step 3: Cross multiply
    208,917x = 322,959 × 322,959
  4. Step 4: Simplify right side
    208,917x = 104,302,515,681
  5. Step 5: Solve for x
    x = 104,302,515,681/208,917
  6. Step 6: Final answer
    x = 499,253.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.