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Finding the Third Proportional to 55,550 and 122,178

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Solution

The third proportional to 55,550 and 122,178 is: 268,721.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,550 : 122,178 = 122,178 : x
  2. Step 2: Convert to fraction form
    55,550/122,178 = 122,178/x
  3. Step 3: Cross multiply
    55,550x = 122,178 × 122,178
  4. Step 4: Simplify right side
    55,550x = 14,927,463,684
  5. Step 5: Solve for x
    x = 14,927,463,684/55,550
  6. Step 6: Final answer
    x = 268,721.22

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.