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Finding the Third Proportional to 98,986 and 215,839

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Solution

The third proportional to 98,986 and 215,839 is: 470,637.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,986 : 215,839 = 215,839 : x
  2. Step 2: Convert to fraction form
    98,986/215,839 = 215,839/x
  3. Step 3: Cross multiply
    98,986x = 215,839 × 215,839
  4. Step 4: Simplify right side
    98,986x = 46,586,473,921
  5. Step 5: Solve for x
    x = 46,586,473,921/98,986
  6. Step 6: Final answer
    x = 470,637.00

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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.