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Finding the Third Proportional to 317,907 and 445,546.13

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Solution

The third proportional to 317,907 and 445,546.13 is: 624,432.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,907 : 445,546.13 = 445,546.13 : x
  2. Step 2: Convert to fraction form
    317,907/445,546.13 = 445,546.13/x
  3. Step 3: Cross multiply
    317,907x = 445,546.13 × 445,546.13
  4. Step 4: Simplify right side
    317,907x = 198,511,349,502.52
  5. Step 5: Solve for x
    x = 198,511,349,502.52/317,907
  6. Step 6: Final answer
    x = 624,432.14

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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.