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Finding the Third Proportional to 317,956 and 691,133

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Solution

The third proportional to 317,956 and 691,133 is: 1,502,298.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,956 : 691,133 = 691,133 : x
  2. Step 2: Convert to fraction form
    317,956/691,133 = 691,133/x
  3. Step 3: Cross multiply
    317,956x = 691,133 × 691,133
  4. Step 4: Simplify right side
    317,956x = 477,664,823,689
  5. Step 5: Solve for x
    x = 477,664,823,689/317,956
  6. Step 6: Final answer
    x = 1,502,298.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.