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Finding the Third Proportional to 144,129 and 231,579

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Solution

The third proportional to 144,129 and 231,579 is: 372,089.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,129 : 231,579 = 231,579 : x
  2. Step 2: Convert to fraction form
    144,129/231,579 = 231,579/x
  3. Step 3: Cross multiply
    144,129x = 231,579 × 231,579
  4. Step 4: Simplify right side
    144,129x = 53,628,833,241
  5. Step 5: Solve for x
    x = 53,628,833,241/144,129
  6. Step 6: Final answer
    x = 372,089.12

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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.