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Finding the Third Proportional to 40,670.44 and 90,678.66

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Solution

The third proportional to 40,670.44 and 90,678.66 is: 202,176.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,670.44 : 90,678.66 = 90,678.66 : x
  2. Step 2: Convert to fraction form
    40,670.44/90,678.66 = 90,678.66/x
  3. Step 3: Cross multiply
    40,670.44x = 90,678.66 × 90,678.66
  4. Step 4: Simplify right side
    40,670.44x = 8,222,618,699.31
  5. Step 5: Solve for x
    x = 8,222,618,699.31/40,670.44
  6. Step 6: Final answer
    x = 202,176.79

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.