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Finding the Third Proportional to 297,078 and 445,545

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Solution

The third proportional to 297,078 and 445,545 is: 668,209.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,078 : 445,545 = 445,545 : x
  2. Step 2: Convert to fraction form
    297,078/445,545 = 445,545/x
  3. Step 3: Cross multiply
    297,078x = 445,545 × 445,545
  4. Step 4: Simplify right side
    297,078x = 198,510,347,025
  5. Step 5: Solve for x
    x = 198,510,347,025/297,078
  6. Step 6: Final answer
    x = 668,209.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.