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Finding the Third Proportional to 95,602.50 and 197,345.25

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Solution

The third proportional to 95,602.50 and 197,345.25 is: 407,365.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,602.50 : 197,345.25 = 197,345.25 : x
  2. Step 2: Convert to fraction form
    95,602.50/197,345.25 = 197,345.25/x
  3. Step 3: Cross multiply
    95,602.50x = 197,345.25 × 197,345.25
  4. Step 4: Simplify right side
    95,602.50x = 38,945,147,697.56
  5. Step 5: Solve for x
    x = 38,945,147,697.56/95,602.50
  6. Step 6: Final answer
    x = 407,365.37

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.