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Finding the Third Proportional to 317,916 and 445,558

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Solution

The third proportional to 317,916 and 445,558 is: 624,447.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,916 : 445,558 = 445,558 : x
  2. Step 2: Convert to fraction form
    317,916/445,558 = 445,558/x
  3. Step 3: Cross multiply
    317,916x = 445,558 × 445,558
  4. Step 4: Simplify right side
    317,916x = 198,521,931,364
  5. Step 5: Solve for x
    x = 198,521,931,364/317,916
  6. Step 6: Final answer
    x = 624,447.75

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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.