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Finding the Third Proportional to 135,648 and 197,304

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Solution

The third proportional to 135,648 and 197,304 is: 286,984.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,648 : 197,304 = 197,304 : x
  2. Step 2: Convert to fraction form
    135,648/197,304 = 197,304/x
  3. Step 3: Cross multiply
    135,648x = 197,304 × 197,304
  4. Step 4: Simplify right side
    135,648x = 38,928,868,416
  5. Step 5: Solve for x
    x = 38,928,868,416/135,648
  6. Step 6: Final answer
    x = 286,984.46

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.