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Finding the Third Proportional to 317,690 and 493,961

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Solution

The third proportional to 317,690 and 493,961 is: 768,036.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,690 : 493,961 = 493,961 : x
  2. Step 2: Convert to fraction form
    317,690/493,961 = 493,961/x
  3. Step 3: Cross multiply
    317,690x = 493,961 × 493,961
  4. Step 4: Simplify right side
    317,690x = 243,997,469,521
  5. Step 5: Solve for x
    x = 243,997,469,521/317,690
  6. Step 6: Final answer
    x = 768,036.35

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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.