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Finding the Third Proportional to 67,054.13 and 139,563.66

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Solution

The third proportional to 67,054.13 and 139,563.66 is: 290,481.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,054.13 : 139,563.66 = 139,563.66 : x
  2. Step 2: Convert to fraction form
    67,054.13/139,563.66 = 139,563.66/x
  3. Step 3: Cross multiply
    67,054.13x = 139,563.66 × 139,563.66
  4. Step 4: Simplify right side
    67,054.13x = 19,478,014,145.87
  5. Step 5: Solve for x
    x = 19,478,014,145.87/67,054.13
  6. Step 6: Final answer
    x = 290,481.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.