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Finding the Third Proportional to 143,728.80 and 312,625.20

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Solution

The third proportional to 143,728.80 and 312,625.20 is: 679,992.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,728.80 : 312,625.20 = 312,625.20 : x
  2. Step 2: Convert to fraction form
    143,728.80/312,625.20 = 312,625.20/x
  3. Step 3: Cross multiply
    143,728.80x = 312,625.20 × 312,625.20
  4. Step 4: Simplify right side
    143,728.80x = 97,734,512,744.18
  5. Step 5: Solve for x
    x = 97,734,512,744.18/143,728.80
  6. Step 6: Final answer
    x = 679,992.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.