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Finding the Third Proportional to 197,272.50 and 431,459.25

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Solution

The third proportional to 197,272.50 and 431,459.25 is: 943,654.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,272.50 : 431,459.25 = 431,459.25 : x
  2. Step 2: Convert to fraction form
    197,272.50/431,459.25 = 431,459.25/x
  3. Step 3: Cross multiply
    197,272.50x = 431,459.25 × 431,459.25
  4. Step 4: Simplify right side
    197,272.50x = 186,157,084,410.56
  5. Step 5: Solve for x
    x = 186,157,084,410.56/197,272.50
  6. Step 6: Final answer
    x = 943,654.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.