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Finding the Third Proportional to 217,010 and 333,939

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Solution

The third proportional to 217,010 and 333,939 is: 513,871.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,010 : 333,939 = 333,939 : x
  2. Step 2: Convert to fraction form
    217,010/333,939 = 333,939/x
  3. Step 3: Cross multiply
    217,010x = 333,939 × 333,939
  4. Step 4: Simplify right side
    217,010x = 111,515,255,721
  5. Step 5: Solve for x
    x = 111,515,255,721/217,010
  6. Step 6: Final answer
    x = 513,871.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.