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Finding the Third Proportional to 64,902 and 140,169

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Solution

The third proportional to 64,902 and 140,169 is: 302,723.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,902 : 140,169 = 140,169 : x
  2. Step 2: Convert to fraction form
    64,902/140,169 = 140,169/x
  3. Step 3: Cross multiply
    64,902x = 140,169 × 140,169
  4. Step 4: Simplify right side
    64,902x = 19,647,348,561
  5. Step 5: Solve for x
    x = 19,647,348,561/64,902
  6. Step 6: Final answer
    x = 302,723.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.