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Finding the Third Proportional to 143,542.13 and 309,020.06

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Solution

The third proportional to 143,542.13 and 309,020.06 is: 665,263.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,542.13 : 309,020.06 = 309,020.06 : x
  2. Step 2: Convert to fraction form
    143,542.13/309,020.06 = 309,020.06/x
  3. Step 3: Cross multiply
    143,542.13x = 309,020.06 × 309,020.06
  4. Step 4: Simplify right side
    143,542.13x = 95,493,399,027.50
  5. Step 5: Solve for x
    x = 95,493,399,027.50/143,542.13
  6. Step 6: Final answer
    x = 665,263.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.