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Finding the Third Proportional to 98,397 and 215,261

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Solution

The third proportional to 98,397 and 215,261 is: 470,921.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,397 : 215,261 = 215,261 : x
  2. Step 2: Convert to fraction form
    98,397/215,261 = 215,261/x
  3. Step 3: Cross multiply
    98,397x = 215,261 × 215,261
  4. Step 4: Simplify right side
    98,397x = 46,337,298,121
  5. Step 5: Solve for x
    x = 46,337,298,121/98,397
  6. Step 6: Final answer
    x = 470,921.86

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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.