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Finding the Third Proportional to 62,415 and 143,238

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Solution

The third proportional to 62,415 and 143,238 is: 328,721.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,415 : 143,238 = 143,238 : x
  2. Step 2: Convert to fraction form
    62,415/143,238 = 143,238/x
  3. Step 3: Cross multiply
    62,415x = 143,238 × 143,238
  4. Step 4: Simplify right side
    62,415x = 20,517,124,644
  5. Step 5: Solve for x
    x = 20,517,124,644/62,415
  6. Step 6: Final answer
    x = 328,721.05

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.