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Finding the Third Proportional to 64,736 and 138,470

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Solution

The third proportional to 64,736 and 138,470 is: 296,186.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,736 : 138,470 = 138,470 : x
  2. Step 2: Convert to fraction form
    64,736/138,470 = 138,470/x
  3. Step 3: Cross multiply
    64,736x = 138,470 × 138,470
  4. Step 4: Simplify right side
    64,736x = 19,173,940,900
  5. Step 5: Solve for x
    x = 19,173,940,900/64,736
  6. Step 6: Final answer
    x = 296,186.68

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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.