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Finding the Third Proportional to 98,253 and 208,190.25

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Solution

The third proportional to 98,253 and 208,190.25 is: 441,138.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,253 : 208,190.25 = 208,190.25 : x
  2. Step 2: Convert to fraction form
    98,253/208,190.25 = 208,190.25/x
  3. Step 3: Cross multiply
    98,253x = 208,190.25 × 208,190.25
  4. Step 4: Simplify right side
    98,253x = 43,343,180,195.06
  5. Step 5: Solve for x
    x = 43,343,180,195.06/98,253
  6. Step 6: Final answer
    x = 441,138.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.