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Finding the Third Proportional to 94,686 and 203,677.50

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Solution

The third proportional to 94,686 and 203,677.50 is: 438,127.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,686 : 203,677.50 = 203,677.50 : x
  2. Step 2: Convert to fraction form
    94,686/203,677.50 = 203,677.50/x
  3. Step 3: Cross multiply
    94,686x = 203,677.50 × 203,677.50
  4. Step 4: Simplify right side
    94,686x = 41,484,524,006.25
  5. Step 5: Solve for x
    x = 41,484,524,006.25/94,686
  6. Step 6: Final answer
    x = 438,127.33

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Why These Related Problems?

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