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Finding the Third Proportional to 317,086 and 660,416

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Solution

The third proportional to 317,086 and 660,416 is: 1,375,492.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,086 : 660,416 = 660,416 : x
  2. Step 2: Convert to fraction form
    317,086/660,416 = 660,416/x
  3. Step 3: Cross multiply
    317,086x = 660,416 × 660,416
  4. Step 4: Simplify right side
    317,086x = 436,149,293,056
  5. Step 5: Solve for x
    x = 436,149,293,056/317,086
  6. Step 6: Final answer
    x = 1,375,492.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.