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Finding the Third Proportional to 98,447 and 214,939

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Solution

The third proportional to 98,447 and 214,939 is: 469,275.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,447 : 214,939 = 214,939 : x
  2. Step 2: Convert to fraction form
    98,447/214,939 = 214,939/x
  3. Step 3: Cross multiply
    98,447x = 214,939 × 214,939
  4. Step 4: Simplify right side
    98,447x = 46,198,773,721
  5. Step 5: Solve for x
    x = 46,198,773,721/98,447
  6. Step 6: Final answer
    x = 469,275.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.