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Finding the Third Proportional to 317,469 and 492,111

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Solution

The third proportional to 317,469 and 492,111 is: 762,824.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,469 : 492,111 = 492,111 : x
  2. Step 2: Convert to fraction form
    317,469/492,111 = 492,111/x
  3. Step 3: Cross multiply
    317,469x = 492,111 × 492,111
  4. Step 4: Simplify right side
    317,469x = 242,173,236,321
  5. Step 5: Solve for x
    x = 242,173,236,321/317,469
  6. Step 6: Final answer
    x = 762,824.83

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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.