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Finding the Third Proportional to 98,343 and 203,681.25

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Solution

The third proportional to 98,343 and 203,681.25 is: 421,850.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,343 : 203,681.25 = 203,681.25 : x
  2. Step 2: Convert to fraction form
    98,343/203,681.25 = 203,681.25/x
  3. Step 3: Cross multiply
    98,343x = 203,681.25 × 203,681.25
  4. Step 4: Simplify right side
    98,343x = 41,486,051,601.56
  5. Step 5: Solve for x
    x = 41,486,051,601.56/98,343
  6. Step 6: Final answer
    x = 421,850.58

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.