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Finding the Third Proportional to 66,505.50 and 145,945.13

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Solution

The third proportional to 66,505.50 and 145,945.13 is: 320,273.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,505.50 : 145,945.13 = 145,945.13 : x
  2. Step 2: Convert to fraction form
    66,505.50/145,945.13 = 145,945.13/x
  3. Step 3: Cross multiply
    66,505.50x = 145,945.13 × 145,945.13
  4. Step 4: Simplify right side
    66,505.50x = 21,299,979,511.27
  5. Step 5: Solve for x
    x = 21,299,979,511.27/66,505.50
  6. Step 6: Final answer
    x = 320,273.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.