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Finding the Third Proportional to 144,504 and 212,568

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Solution

The third proportional to 144,504 and 212,568 is: 312,691.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,504 : 212,568 = 212,568 : x
  2. Step 2: Convert to fraction form
    144,504/212,568 = 212,568/x
  3. Step 3: Cross multiply
    144,504x = 212,568 × 212,568
  4. Step 4: Simplify right side
    144,504x = 45,185,154,624
  5. Step 5: Solve for x
    x = 45,185,154,624/144,504
  6. Step 6: Final answer
    x = 312,691.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.