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Finding the Third Proportional to 197,290 and 309,157

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Solution

The third proportional to 197,290 and 309,157 is: 484,454.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,290 : 309,157 = 309,157 : x
  2. Step 2: Convert to fraction form
    197,290/309,157 = 309,157/x
  3. Step 3: Cross multiply
    197,290x = 309,157 × 309,157
  4. Step 4: Simplify right side
    197,290x = 95,578,050,649
  5. Step 5: Solve for x
    x = 95,578,050,649/197,290
  6. Step 6: Final answer
    x = 484,454.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.