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Finding the Third Proportional to 143,296 and 307,723

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Solution

The third proportional to 143,296 and 307,723 is: 660,824.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,296 : 307,723 = 307,723 : x
  2. Step 2: Convert to fraction form
    143,296/307,723 = 307,723/x
  3. Step 3: Cross multiply
    143,296x = 307,723 × 307,723
  4. Step 4: Simplify right side
    143,296x = 94,693,444,729
  5. Step 5: Solve for x
    x = 94,693,444,729/143,296
  6. Step 6: Final answer
    x = 660,824.06

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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.