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Finding the Third Proportional to 64,617 and 136,906

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Solution

The third proportional to 64,617 and 136,906 is: 290,066.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,617 : 136,906 = 136,906 : x
  2. Step 2: Convert to fraction form
    64,617/136,906 = 136,906/x
  3. Step 3: Cross multiply
    64,617x = 136,906 × 136,906
  4. Step 4: Simplify right side
    64,617x = 18,743,252,836
  5. Step 5: Solve for x
    x = 18,743,252,836/64,617
  6. Step 6: Final answer
    x = 290,066.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.