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Finding the Third Proportional to 143,985.94 and 313,100.86

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Solution

The third proportional to 143,985.94 and 313,100.86 is: 680,845.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,985.94 : 313,100.86 = 313,100.86 : x
  2. Step 2: Convert to fraction form
    143,985.94/313,100.86 = 313,100.86/x
  3. Step 3: Cross multiply
    143,985.94x = 313,100.86 × 313,100.86
  4. Step 4: Simplify right side
    143,985.94x = 98,032,148,141.36
  5. Step 5: Solve for x
    x = 98,032,148,141.36/143,985.94
  6. Step 6: Final answer
    x = 680,845.30

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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.