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Finding the Third Proportional to 90,715 and 143,029

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Solution

The third proportional to 90,715 and 143,029 is: 225,511.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,715 : 143,029 = 143,029 : x
  2. Step 2: Convert to fraction form
    90,715/143,029 = 143,029/x
  3. Step 3: Cross multiply
    90,715x = 143,029 × 143,029
  4. Step 4: Simplify right side
    90,715x = 20,457,294,841
  5. Step 5: Solve for x
    x = 20,457,294,841/90,715
  6. Step 6: Final answer
    x = 225,511.71

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.