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Finding the Third Proportional to 69,125.50 and 145,625

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Solution

The third proportional to 69,125.50 and 145,625 is: 306,784.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,125.50 : 145,625 = 145,625 : x
  2. Step 2: Convert to fraction form
    69,125.50/145,625 = 145,625/x
  3. Step 3: Cross multiply
    69,125.50x = 145,625 × 145,625
  4. Step 4: Simplify right side
    69,125.50x = 21,206,640,625
  5. Step 5: Solve for x
    x = 21,206,640,625/69,125.50
  6. Step 6: Final answer
    x = 306,784.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.