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Finding the Third Proportional to 1,981 and 4,430

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Solution

The third proportional to 1,981 and 4,430 is: 9,906.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981 : 4,430 = 4,430 : x
  2. Step 2: Convert to fraction form
    1,981/4,430 = 4,430/x
  3. Step 3: Cross multiply
    1,981x = 4,430 × 4,430
  4. Step 4: Simplify right side
    1,981x = 19,624,900
  5. Step 5: Solve for x
    x = 19,624,900/1,981
  6. Step 6: Final answer
    x = 9,906.56

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.