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Finding the Third Proportional to 64,458 and 138,790

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Solution

The third proportional to 64,458 and 138,790 is: 298,840.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,458 : 138,790 = 138,790 : x
  2. Step 2: Convert to fraction form
    64,458/138,790 = 138,790/x
  3. Step 3: Cross multiply
    64,458x = 138,790 × 138,790
  4. Step 4: Simplify right side
    64,458x = 19,262,664,100
  5. Step 5: Solve for x
    x = 19,262,664,100/64,458
  6. Step 6: Final answer
    x = 298,840.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.