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Finding the Third Proportional to 131,772 and 197,298

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Solution

The third proportional to 131,772 and 197,298 is: 295,407.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,772 : 197,298 = 197,298 : x
  2. Step 2: Convert to fraction form
    131,772/197,298 = 197,298/x
  3. Step 3: Cross multiply
    131,772x = 197,298 × 197,298
  4. Step 4: Simplify right side
    131,772x = 38,926,500,804
  5. Step 5: Solve for x
    x = 38,926,500,804/131,772
  6. Step 6: Final answer
    x = 295,407.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.