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Finding the Third Proportional to 145,692 and 196,812

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Solution

The third proportional to 145,692 and 196,812 is: 265,868.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,692 : 196,812 = 196,812 : x
  2. Step 2: Convert to fraction form
    145,692/196,812 = 196,812/x
  3. Step 3: Cross multiply
    145,692x = 196,812 × 196,812
  4. Step 4: Simplify right side
    145,692x = 38,734,963,344
  5. Step 5: Solve for x
    x = 38,734,963,344/145,692
  6. Step 6: Final answer
    x = 265,868.84

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.