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Finding the Third Proportional to 138,672 and 298,719

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Solution

The third proportional to 138,672 and 298,719 is: 643,482.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,672 : 298,719 = 298,719 : x
  2. Step 2: Convert to fraction form
    138,672/298,719 = 298,719/x
  3. Step 3: Cross multiply
    138,672x = 298,719 × 298,719
  4. Step 4: Simplify right side
    138,672x = 89,233,040,961
  5. Step 5: Solve for x
    x = 89,233,040,961/138,672
  6. Step 6: Final answer
    x = 643,482.76

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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.