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Finding the Third Proportional to 12,100.78 and 26,055.42

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Solution

The third proportional to 12,100.78 and 26,055.42 is: 56,102.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,100.78 : 26,055.42 = 26,055.42 : x
  2. Step 2: Convert to fraction form
    12,100.78/26,055.42 = 26,055.42/x
  3. Step 3: Cross multiply
    12,100.78x = 26,055.42 × 26,055.42
  4. Step 4: Simplify right side
    12,100.78x = 678,885,009.08
  5. Step 5: Solve for x
    x = 678,885,009.08/12,100.78
  6. Step 6: Final answer
    x = 56,102.58

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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.