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Finding the Third Proportional to 138,728 and 298,498

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Solution

The third proportional to 138,728 and 298,498 is: 642,271.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,728 : 298,498 = 298,498 : x
  2. Step 2: Convert to fraction form
    138,728/298,498 = 298,498/x
  3. Step 3: Cross multiply
    138,728x = 298,498 × 298,498
  4. Step 4: Simplify right side
    138,728x = 89,101,056,004
  5. Step 5: Solve for x
    x = 89,101,056,004/138,728
  6. Step 6: Final answer
    x = 642,271.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.