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Finding the Third Proportional to 64,138 and 136,502

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Solution

The third proportional to 64,138 and 136,502 is: 290,511.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,138 : 136,502 = 136,502 : x
  2. Step 2: Convert to fraction form
    64,138/136,502 = 136,502/x
  3. Step 3: Cross multiply
    64,138x = 136,502 × 136,502
  4. Step 4: Simplify right side
    64,138x = 18,632,796,004
  5. Step 5: Solve for x
    x = 18,632,796,004/64,138
  6. Step 6: Final answer
    x = 290,511.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.