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Finding the Third Proportional to 143,764.50 and 312,625.50

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Solution

The third proportional to 143,764.50 and 312,625.50 is: 679,825.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,764.50 : 312,625.50 = 312,625.50 : x
  2. Step 2: Convert to fraction form
    143,764.50/312,625.50 = 312,625.50/x
  3. Step 3: Cross multiply
    143,764.50x = 312,625.50 × 312,625.50
  4. Step 4: Simplify right side
    143,764.50x = 97,734,703,250.25
  5. Step 5: Solve for x
    x = 97,734,703,250.25/143,764.50
  6. Step 6: Final answer
    x = 679,825.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.