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Finding the Third Proportional to 64,819.13 and 138,629.63

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Solution

The third proportional to 64,819.13 and 138,629.63 is: 296,489.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,819.13 : 138,629.63 = 138,629.63 : x
  2. Step 2: Convert to fraction form
    64,819.13/138,629.63 = 138,629.63/x
  3. Step 3: Cross multiply
    64,819.13x = 138,629.63 × 138,629.63
  4. Step 4: Simplify right side
    64,819.13x = 19,218,172,927.64
  5. Step 5: Solve for x
    x = 19,218,172,927.64/64,819.13
  6. Step 6: Final answer
    x = 296,489.24

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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.