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Finding the Third Proportional to 64,154 and 138,676

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Solution

The third proportional to 64,154 and 138,676 is: 299,763.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,154 : 138,676 = 138,676 : x
  2. Step 2: Convert to fraction form
    64,154/138,676 = 138,676/x
  3. Step 3: Cross multiply
    64,154x = 138,676 × 138,676
  4. Step 4: Simplify right side
    64,154x = 19,231,032,976
  5. Step 5: Solve for x
    x = 19,231,032,976/64,154
  6. Step 6: Final answer
    x = 299,763.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.