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Finding the Third Proportional to 299,542.50 and 641,205

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Solution

The third proportional to 299,542.50 and 641,205 is: 1,372,572.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,542.50 : 641,205 = 641,205 : x
  2. Step 2: Convert to fraction form
    299,542.50/641,205 = 641,205/x
  3. Step 3: Cross multiply
    299,542.50x = 641,205 × 641,205
  4. Step 4: Simplify right side
    299,542.50x = 411,143,852,025
  5. Step 5: Solve for x
    x = 411,143,852,025/299,542.50
  6. Step 6: Final answer
    x = 1,372,572.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.