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Finding the Third Proportional to 136,397 and 299,875

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Solution

The third proportional to 136,397 and 299,875 is: 659,288.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,397 : 299,875 = 299,875 : x
  2. Step 2: Convert to fraction form
    136,397/299,875 = 299,875/x
  3. Step 3: Cross multiply
    136,397x = 299,875 × 299,875
  4. Step 4: Simplify right side
    136,397x = 89,925,015,625
  5. Step 5: Solve for x
    x = 89,925,015,625/136,397
  6. Step 6: Final answer
    x = 659,288.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.