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Finding the Third Proportional to 110,902.18 and 235,647.77

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Solution

The third proportional to 110,902.18 and 235,647.77 is: 500,710.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,902.18 : 235,647.77 = 235,647.77 : x
  2. Step 2: Convert to fraction form
    110,902.18/235,647.77 = 235,647.77/x
  3. Step 3: Cross multiply
    110,902.18x = 235,647.77 × 235,647.77
  4. Step 4: Simplify right side
    110,902.18x = 55,529,873,126.05
  5. Step 5: Solve for x
    x = 55,529,873,126.05/110,902.18
  6. Step 6: Final answer
    x = 500,710.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.