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Finding the Third Proportional to 197,721 and 306,411

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Solution

The third proportional to 197,721 and 306,411 is: 474,849.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,721 : 306,411 = 306,411 : x
  2. Step 2: Convert to fraction form
    197,721/306,411 = 306,411/x
  3. Step 3: Cross multiply
    197,721x = 306,411 × 306,411
  4. Step 4: Simplify right side
    197,721x = 93,887,700,921
  5. Step 5: Solve for x
    x = 93,887,700,921/197,721
  6. Step 6: Final answer
    x = 474,849.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.