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Finding the Third Proportional to 62,419 and 136,488

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Solution

The third proportional to 62,419 and 136,488 is: 298,450.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,419 : 136,488 = 136,488 : x
  2. Step 2: Convert to fraction form
    62,419/136,488 = 136,488/x
  3. Step 3: Cross multiply
    62,419x = 136,488 × 136,488
  4. Step 4: Simplify right side
    62,419x = 18,628,974,144
  5. Step 5: Solve for x
    x = 18,628,974,144/62,419
  6. Step 6: Final answer
    x = 298,450.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.