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Finding the Third Proportional to 125,177.25 and 192,140.25

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Solution

The third proportional to 125,177.25 and 192,140.25 is: 294,924.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,177.25 : 192,140.25 = 192,140.25 : x
  2. Step 2: Convert to fraction form
    125,177.25/192,140.25 = 192,140.25/x
  3. Step 3: Cross multiply
    125,177.25x = 192,140.25 × 192,140.25
  4. Step 4: Simplify right side
    125,177.25x = 36,917,875,670.06
  5. Step 5: Solve for x
    x = 36,917,875,670.06/125,177.25
  6. Step 6: Final answer
    x = 294,924.80

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.