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Finding the Third Proportional to 64,758 and 138,732

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Solution

The third proportional to 64,758 and 138,732 is: 297,207.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,758 : 138,732 = 138,732 : x
  2. Step 2: Convert to fraction form
    64,758/138,732 = 138,732/x
  3. Step 3: Cross multiply
    64,758x = 138,732 × 138,732
  4. Step 4: Simplify right side
    64,758x = 19,246,567,824
  5. Step 5: Solve for x
    x = 19,246,567,824/64,758
  6. Step 6: Final answer
    x = 297,207.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.