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Finding the Third Proportional to 64,936 and 138,240

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Solution

The third proportional to 64,936 and 138,240 is: 294,294.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,936 : 138,240 = 138,240 : x
  2. Step 2: Convert to fraction form
    64,936/138,240 = 138,240/x
  3. Step 3: Cross multiply
    64,936x = 138,240 × 138,240
  4. Step 4: Simplify right side
    64,936x = 19,110,297,600
  5. Step 5: Solve for x
    x = 19,110,297,600/64,936
  6. Step 6: Final answer
    x = 294,294.35

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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.