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Finding the Third Proportional to 144,110.25 and 313,141.50

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Solution

The third proportional to 144,110.25 and 313,141.50 is: 680,434.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,110.25 : 313,141.50 = 313,141.50 : x
  2. Step 2: Convert to fraction form
    144,110.25/313,141.50 = 313,141.50/x
  3. Step 3: Cross multiply
    144,110.25x = 313,141.50 × 313,141.50
  4. Step 4: Simplify right side
    144,110.25x = 98,057,599,022.25
  5. Step 5: Solve for x
    x = 98,057,599,022.25/144,110.25
  6. Step 6: Final answer
    x = 680,434.59

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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.