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Finding the Third Proportional to 62,415 and 133,578

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Solution

The third proportional to 62,415 and 133,578 is: 285,878.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,415 : 133,578 = 133,578 : x
  2. Step 2: Convert to fraction form
    62,415/133,578 = 133,578/x
  3. Step 3: Cross multiply
    62,415x = 133,578 × 133,578
  4. Step 4: Simplify right side
    62,415x = 17,843,082,084
  5. Step 5: Solve for x
    x = 17,843,082,084/62,415
  6. Step 6: Final answer
    x = 285,878.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.