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Finding the Third Proportional to 135,176 and 197,628

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Solution

The third proportional to 135,176 and 197,628 is: 288,933.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,176 : 197,628 = 197,628 : x
  2. Step 2: Convert to fraction form
    135,176/197,628 = 197,628/x
  3. Step 3: Cross multiply
    135,176x = 197,628 × 197,628
  4. Step 4: Simplify right side
    135,176x = 39,056,826,384
  5. Step 5: Solve for x
    x = 39,056,826,384/135,176
  6. Step 6: Final answer
    x = 288,933.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.