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Finding the Third Proportional to 136,440 and 299,948

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Solution

The third proportional to 136,440 and 299,948 is: 659,401.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,440 : 299,948 = 299,948 : x
  2. Step 2: Convert to fraction form
    136,440/299,948 = 299,948/x
  3. Step 3: Cross multiply
    136,440x = 299,948 × 299,948
  4. Step 4: Simplify right side
    136,440x = 89,968,802,704
  5. Step 5: Solve for x
    x = 89,968,802,704/136,440
  6. Step 6: Final answer
    x = 659,401.95

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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.