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Finding the Third Proportional to 198,216 and 301,971

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Solution

The third proportional to 198,216 and 301,971 is: 460,035.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,216 : 301,971 = 301,971 : x
  2. Step 2: Convert to fraction form
    198,216/301,971 = 301,971/x
  3. Step 3: Cross multiply
    198,216x = 301,971 × 301,971
  4. Step 4: Simplify right side
    198,216x = 91,186,484,841
  5. Step 5: Solve for x
    x = 91,186,484,841/198,216
  6. Step 6: Final answer
    x = 460,035.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.