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Finding the Third Proportional to 138,719 and 298,489

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Solution

The third proportional to 138,719 and 298,489 is: 642,274.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,719 : 298,489 = 298,489 : x
  2. Step 2: Convert to fraction form
    138,719/298,489 = 298,489/x
  3. Step 3: Cross multiply
    138,719x = 298,489 × 298,489
  4. Step 4: Simplify right side
    138,719x = 89,095,683,121
  5. Step 5: Solve for x
    x = 89,095,683,121/138,719
  6. Step 6: Final answer
    x = 642,274.55

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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.