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Finding the Third Proportional to 103,054.78 and 223,730.86

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Solution

The third proportional to 103,054.78 and 223,730.86 is: 485,717.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,054.78 : 223,730.86 = 223,730.86 : x
  2. Step 2: Convert to fraction form
    103,054.78/223,730.86 = 223,730.86/x
  3. Step 3: Cross multiply
    103,054.78x = 223,730.86 × 223,730.86
  4. Step 4: Simplify right side
    103,054.78x = 50,055,497,436.68
  5. Step 5: Solve for x
    x = 50,055,497,436.68/103,054.78
  6. Step 6: Final answer
    x = 485,717.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.