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Finding the Third Proportional to 62,419 and 134,815

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Solution

The third proportional to 62,419 and 134,815 is: 291,178.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,419 : 134,815 = 134,815 : x
  2. Step 2: Convert to fraction form
    62,419/134,815 = 134,815/x
  3. Step 3: Cross multiply
    62,419x = 134,815 × 134,815
  4. Step 4: Simplify right side
    62,419x = 18,175,084,225
  5. Step 5: Solve for x
    x = 18,175,084,225/62,419
  6. Step 6: Final answer
    x = 291,178.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.