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Finding the Third Proportional to 7,972 and 18,418

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Solution

The third proportional to 7,972 and 18,418 is: 42,551.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,972 : 18,418 = 18,418 : x
  2. Step 2: Convert to fraction form
    7,972/18,418 = 18,418/x
  3. Step 3: Cross multiply
    7,972x = 18,418 × 18,418
  4. Step 4: Simplify right side
    7,972x = 339,222,724
  5. Step 5: Solve for x
    x = 339,222,724/7,972
  6. Step 6: Final answer
    x = 42,551.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.