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Finding the Third Proportional to 64,827 and 138,636

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Solution

The third proportional to 64,827 and 138,636 is: 296,480.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,827 : 138,636 = 138,636 : x
  2. Step 2: Convert to fraction form
    64,827/138,636 = 138,636/x
  3. Step 3: Cross multiply
    64,827x = 138,636 × 138,636
  4. Step 4: Simplify right side
    64,827x = 19,219,940,496
  5. Step 5: Solve for x
    x = 19,219,940,496/64,827
  6. Step 6: Final answer
    x = 296,480.49

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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.