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Finding the Third Proportional to 317,900 and 445,602

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Solution

The third proportional to 317,900 and 445,602 is: 624,602.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,900 : 445,602 = 445,602 : x
  2. Step 2: Convert to fraction form
    317,900/445,602 = 445,602/x
  3. Step 3: Cross multiply
    317,900x = 445,602 × 445,602
  4. Step 4: Simplify right side
    317,900x = 198,561,142,404
  5. Step 5: Solve for x
    x = 198,561,142,404/317,900
  6. Step 6: Final answer
    x = 624,602.52

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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.