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Finding the Third Proportional to 103,426.88 and 222,686.72

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Solution

The third proportional to 103,426.88 and 222,686.72 is: 479,463.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,426.88 : 222,686.72 = 222,686.72 : x
  2. Step 2: Convert to fraction form
    103,426.88/222,686.72 = 222,686.72/x
  3. Step 3: Cross multiply
    103,426.88x = 222,686.72 × 222,686.72
  4. Step 4: Simplify right side
    103,426.88x = 49,589,374,707.64
  5. Step 5: Solve for x
    x = 49,589,374,707.64/103,426.88
  6. Step 6: Final answer
    x = 479,463.14

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.