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Finding the Third Proportional to 197,928 and 415,298

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Solution

The third proportional to 197,928 and 415,298 is: 871,389.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,928 : 415,298 = 415,298 : x
  2. Step 2: Convert to fraction form
    197,928/415,298 = 415,298/x
  3. Step 3: Cross multiply
    197,928x = 415,298 × 415,298
  4. Step 4: Simplify right side
    197,928x = 172,472,428,804
  5. Step 5: Solve for x
    x = 172,472,428,804/197,928
  6. Step 6: Final answer
    x = 871,389.74

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.