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Finding the Third Proportional to 144,972.91 and 311,400.07

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Solution

The third proportional to 144,972.91 and 311,400.07 is: 668,883.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,972.91 : 311,400.07 = 311,400.07 : x
  2. Step 2: Convert to fraction form
    144,972.91/311,400.07 = 311,400.07/x
  3. Step 3: Cross multiply
    144,972.91x = 311,400.07 × 311,400.07
  4. Step 4: Simplify right side
    144,972.91x = 96,970,003,790.63
  5. Step 5: Solve for x
    x = 96,970,003,790.63/144,972.91
  6. Step 6: Final answer
    x = 668,883.59

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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.