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Finding the Third Proportional to 317,316 and 667,356

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Solution

The third proportional to 317,316 and 667,356 is: 1,403,534.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,316 : 667,356 = 667,356 : x
  2. Step 2: Convert to fraction form
    317,316/667,356 = 667,356/x
  3. Step 3: Cross multiply
    317,316x = 667,356 × 667,356
  4. Step 4: Simplify right side
    317,316x = 445,364,030,736
  5. Step 5: Solve for x
    x = 445,364,030,736/317,316
  6. Step 6: Final answer
    x = 1,403,534.74

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.