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Finding the Third Proportional to 128,110.50 and 192,577.50

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Solution

The third proportional to 128,110.50 and 192,577.50 is: 289,485.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,110.50 : 192,577.50 = 192,577.50 : x
  2. Step 2: Convert to fraction form
    128,110.50/192,577.50 = 192,577.50/x
  3. Step 3: Cross multiply
    128,110.50x = 192,577.50 × 192,577.50
  4. Step 4: Simplify right side
    128,110.50x = 37,086,093,506.25
  5. Step 5: Solve for x
    x = 37,086,093,506.25/128,110.50
  6. Step 6: Final answer
    x = 289,485.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.