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Finding the Third Proportional to 45,198 and 64,566

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Solution

The third proportional to 45,198 and 64,566 is: 92,233.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,198 : 64,566 = 64,566 : x
  2. Step 2: Convert to fraction form
    45,198/64,566 = 64,566/x
  3. Step 3: Cross multiply
    45,198x = 64,566 × 64,566
  4. Step 4: Simplify right side
    45,198x = 4,168,768,356
  5. Step 5: Solve for x
    x = 4,168,768,356/45,198
  6. Step 6: Final answer
    x = 92,233.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.