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Finding the Third Proportional to 144,144 and 231,601.50

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Solution

The third proportional to 144,144 and 231,601.50 is: 372,122.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,144 : 231,601.50 = 231,601.50 : x
  2. Step 2: Convert to fraction form
    144,144/231,601.50 = 231,601.50/x
  3. Step 3: Cross multiply
    144,144x = 231,601.50 × 231,601.50
  4. Step 4: Simplify right side
    144,144x = 53,639,254,802.25
  5. Step 5: Solve for x
    x = 53,639,254,802.25/144,144
  6. Step 6: Final answer
    x = 372,122.70

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.