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Finding the Third Proportional to 136,408 and 299,887

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Solution

The third proportional to 136,408 and 299,887 is: 659,288.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,408 : 299,887 = 299,887 : x
  2. Step 2: Convert to fraction form
    136,408/299,887 = 299,887/x
  3. Step 3: Cross multiply
    136,408x = 299,887 × 299,887
  4. Step 4: Simplify right side
    136,408x = 89,932,212,769
  5. Step 5: Solve for x
    x = 89,932,212,769/136,408
  6. Step 6: Final answer
    x = 659,288.41

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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.