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Finding the Third Proportional to 144,129.75 and 210,640.50

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Solution

The third proportional to 144,129.75 and 210,640.50 is: 307,843.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,129.75 : 210,640.50 = 210,640.50 : x
  2. Step 2: Convert to fraction form
    144,129.75/210,640.50 = 210,640.50/x
  3. Step 3: Cross multiply
    144,129.75x = 210,640.50 × 210,640.50
  4. Step 4: Simplify right side
    144,129.75x = 44,369,420,240.25
  5. Step 5: Solve for x
    x = 44,369,420,240.25/144,129.75
  6. Step 6: Final answer
    x = 307,843.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.