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Finding the Third Proportional to 40,907 and 84,424

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Solution

The third proportional to 40,907 and 84,424 is: 174,234.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,907 : 84,424 = 84,424 : x
  2. Step 2: Convert to fraction form
    40,907/84,424 = 84,424/x
  3. Step 3: Cross multiply
    40,907x = 84,424 × 84,424
  4. Step 4: Simplify right side
    40,907x = 7,127,411,776
  5. Step 5: Solve for x
    x = 7,127,411,776/40,907
  6. Step 6: Final answer
    x = 174,234.53

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.