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Finding the Third Proportional to 297,074 and 641,495

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Solution

The third proportional to 297,074 and 641,495 is: 1,385,230.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,074 : 641,495 = 641,495 : x
  2. Step 2: Convert to fraction form
    297,074/641,495 = 641,495/x
  3. Step 3: Cross multiply
    297,074x = 641,495 × 641,495
  4. Step 4: Simplify right side
    297,074x = 411,515,835,025
  5. Step 5: Solve for x
    x = 411,515,835,025/297,074
  6. Step 6: Final answer
    x = 1,385,230.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.