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Finding the Third Proportional to 316,622 and 646,162

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Solution

The third proportional to 316,622 and 646,162 is: 1,318,687.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,622 : 646,162 = 646,162 : x
  2. Step 2: Convert to fraction form
    316,622/646,162 = 646,162/x
  3. Step 3: Cross multiply
    316,622x = 646,162 × 646,162
  4. Step 4: Simplify right side
    316,622x = 417,525,330,244
  5. Step 5: Solve for x
    x = 417,525,330,244/316,622
  6. Step 6: Final answer
    x = 1,318,687.05

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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.