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Finding the Third Proportional to 295,949 and 641,695

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Solution

The third proportional to 295,949 and 641,695 is: 1,391,362.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,949 : 641,695 = 641,695 : x
  2. Step 2: Convert to fraction form
    295,949/641,695 = 641,695/x
  3. Step 3: Cross multiply
    295,949x = 641,695 × 641,695
  4. Step 4: Simplify right side
    295,949x = 411,772,473,025
  5. Step 5: Solve for x
    x = 411,772,473,025/295,949
  6. Step 6: Final answer
    x = 1,391,362.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.