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Finding the Third Proportional to 316,633.50 and 646,182

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Solution

The third proportional to 316,633.50 and 646,182 is: 1,318,720.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,633.50 : 646,182 = 646,182 : x
  2. Step 2: Convert to fraction form
    316,633.50/646,182 = 646,182/x
  3. Step 3: Cross multiply
    316,633.50x = 646,182 × 646,182
  4. Step 4: Simplify right side
    316,633.50x = 417,551,177,124
  5. Step 5: Solve for x
    x = 417,551,177,124/316,633.50
  6. Step 6: Final answer
    x = 1,318,720.78

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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.