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Finding the Third Proportional to 64,839 and 138,660

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Solution

The third proportional to 64,839 and 138,660 is: 296,528.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,839 : 138,660 = 138,660 : x
  2. Step 2: Convert to fraction form
    64,839/138,660 = 138,660/x
  3. Step 3: Cross multiply
    64,839x = 138,660 × 138,660
  4. Step 4: Simplify right side
    64,839x = 19,226,595,600
  5. Step 5: Solve for x
    x = 19,226,595,600/64,839
  6. Step 6: Final answer
    x = 296,528.26

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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.