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Finding the Third Proportional to 317,558 and 505,497

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Solution

The third proportional to 317,558 and 505,497 is: 804,663.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,558 : 505,497 = 505,497 : x
  2. Step 2: Convert to fraction form
    317,558/505,497 = 505,497/x
  3. Step 3: Cross multiply
    317,558x = 505,497 × 505,497
  4. Step 4: Simplify right side
    317,558x = 255,527,217,009
  5. Step 5: Solve for x
    x = 255,527,217,009/317,558
  6. Step 6: Final answer
    x = 804,663.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.