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Finding the Third Proportional to 130,176 and 197,760

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Solution

The third proportional to 130,176 and 197,760 is: 300,431.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,176 : 197,760 = 197,760 : x
  2. Step 2: Convert to fraction form
    130,176/197,760 = 197,760/x
  3. Step 3: Cross multiply
    130,176x = 197,760 × 197,760
  4. Step 4: Simplify right side
    130,176x = 39,109,017,600
  5. Step 5: Solve for x
    x = 39,109,017,600/130,176
  6. Step 6: Final answer
    x = 300,431.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.