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Finding the Third Proportional to 123,176 and 198,376

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Solution

The third proportional to 123,176 and 198,376 is: 319,486.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,176 : 198,376 = 198,376 : x
  2. Step 2: Convert to fraction form
    123,176/198,376 = 198,376/x
  3. Step 3: Cross multiply
    123,176x = 198,376 × 198,376
  4. Step 4: Simplify right side
    123,176x = 39,353,037,376
  5. Step 5: Solve for x
    x = 39,353,037,376/123,176
  6. Step 6: Final answer
    x = 319,486.24

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.