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Finding the Third Proportional to 64,107 and 140,283

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Solution

The third proportional to 64,107 and 140,283 is: 306,976.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,107 : 140,283 = 140,283 : x
  2. Step 2: Convert to fraction form
    64,107/140,283 = 140,283/x
  3. Step 3: Cross multiply
    64,107x = 140,283 × 140,283
  4. Step 4: Simplify right side
    64,107x = 19,679,320,089
  5. Step 5: Solve for x
    x = 19,679,320,089/64,107
  6. Step 6: Final answer
    x = 306,976.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.