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Finding the Third Proportional to 98,395 and 215,257

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Solution

The third proportional to 98,395 and 215,257 is: 470,913.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,395 : 215,257 = 215,257 : x
  2. Step 2: Convert to fraction form
    98,395/215,257 = 215,257/x
  3. Step 3: Cross multiply
    98,395x = 215,257 × 215,257
  4. Step 4: Simplify right side
    98,395x = 46,335,576,049
  5. Step 5: Solve for x
    x = 46,335,576,049/98,395
  6. Step 6: Final answer
    x = 470,913.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.