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Finding the Third Proportional to 66,438 and 144,108

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Solution

The third proportional to 66,438 and 144,108 is: 312,578.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,438 : 144,108 = 144,108 : x
  2. Step 2: Convert to fraction form
    66,438/144,108 = 144,108/x
  3. Step 3: Cross multiply
    66,438x = 144,108 × 144,108
  4. Step 4: Simplify right side
    66,438x = 20,767,115,664
  5. Step 5: Solve for x
    x = 20,767,115,664/66,438
  6. Step 6: Final answer
    x = 312,578.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.