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Finding the Third Proportional to 197,284 and 309,148

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Solution

The third proportional to 197,284 and 309,148 is: 484,441.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,284 : 309,148 = 309,148 : x
  2. Step 2: Convert to fraction form
    197,284/309,148 = 309,148/x
  3. Step 3: Cross multiply
    197,284x = 309,148 × 309,148
  4. Step 4: Simplify right side
    197,284x = 95,572,485,904
  5. Step 5: Solve for x
    x = 95,572,485,904/197,284
  6. Step 6: Final answer
    x = 484,441.14

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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.