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Finding the Third Proportional to 316,620.75 and 646,161

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Solution

The third proportional to 316,620.75 and 646,161 is: 1,318,688.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,620.75 : 646,161 = 646,161 : x
  2. Step 2: Convert to fraction form
    316,620.75/646,161 = 646,161/x
  3. Step 3: Cross multiply
    316,620.75x = 646,161 × 646,161
  4. Step 4: Simplify right side
    316,620.75x = 417,524,037,921
  5. Step 5: Solve for x
    x = 417,524,037,921/316,620.75
  6. Step 6: Final answer
    x = 1,318,688.17

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.