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Finding the Third Proportional to 317,972 and 445,665

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Solution

The third proportional to 317,972 and 445,665 is: 624,637.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,972 : 445,665 = 445,665 : x
  2. Step 2: Convert to fraction form
    317,972/445,665 = 445,665/x
  3. Step 3: Cross multiply
    317,972x = 445,665 × 445,665
  4. Step 4: Simplify right side
    317,972x = 198,617,292,225
  5. Step 5: Solve for x
    x = 198,617,292,225/317,972
  6. Step 6: Final answer
    x = 624,637.68

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.