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Finding the Third Proportional to 293,687 and 641,299.50

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Solution

The third proportional to 293,687 and 641,299.50 is: 1,400,351.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,687 : 641,299.50 = 641,299.50 : x
  2. Step 2: Convert to fraction form
    293,687/641,299.50 = 641,299.50/x
  3. Step 3: Cross multiply
    293,687x = 641,299.50 × 641,299.50
  4. Step 4: Simplify right side
    293,687x = 411,265,048,700.25
  5. Step 5: Solve for x
    x = 411,265,048,700.25/293,687
  6. Step 6: Final answer
    x = 1,400,351.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.