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Finding the Third Proportional to 98,620.31 and 139,546.97

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Solution

The third proportional to 98,620.31 and 139,546.97 is: 197,457.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,620.31 : 139,546.97 = 139,546.97 : x
  2. Step 2: Convert to fraction form
    98,620.31/139,546.97 = 139,546.97/x
  3. Step 3: Cross multiply
    98,620.31x = 139,546.97 × 139,546.97
  4. Step 4: Simplify right side
    98,620.31x = 19,473,356,487.31
  5. Step 5: Solve for x
    x = 19,473,356,487.31/98,620.31
  6. Step 6: Final answer
    x = 197,457.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.