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Finding the Third Proportional to 317,412 and 491,886

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Solution

The third proportional to 317,412 and 491,886 is: 762,264.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,412 : 491,886 = 491,886 : x
  2. Step 2: Convert to fraction form
    317,412/491,886 = 491,886/x
  3. Step 3: Cross multiply
    317,412x = 491,886 × 491,886
  4. Step 4: Simplify right side
    317,412x = 241,951,836,996
  5. Step 5: Solve for x
    x = 241,951,836,996/317,412
  6. Step 6: Final answer
    x = 762,264.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.