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Finding the Third Proportional to 98,440 and 231,108

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Solution

The third proportional to 98,440 and 231,108 is: 542,573.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,440 : 231,108 = 231,108 : x
  2. Step 2: Convert to fraction form
    98,440/231,108 = 231,108/x
  3. Step 3: Cross multiply
    98,440x = 231,108 × 231,108
  4. Step 4: Simplify right side
    98,440x = 53,410,907,664
  5. Step 5: Solve for x
    x = 53,410,907,664/98,440
  6. Step 6: Final answer
    x = 542,573.22

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.