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Finding the Third Proportional to 642,022.50 and 961,029

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Solution

The third proportional to 642,022.50 and 961,029 is: 1,438,542.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,022.50 : 961,029 = 961,029 : x
  2. Step 2: Convert to fraction form
    642,022.50/961,029 = 961,029/x
  3. Step 3: Cross multiply
    642,022.50x = 961,029 × 961,029
  4. Step 4: Simplify right side
    642,022.50x = 923,576,738,841
  5. Step 5: Solve for x
    x = 923,576,738,841/642,022.50
  6. Step 6: Final answer
    x = 1,438,542.63

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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.