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Finding the Third Proportional to 124,742 and 191,725.50

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Solution

The third proportional to 124,742 and 191,725.50 is: 294,677.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,742 : 191,725.50 = 191,725.50 : x
  2. Step 2: Convert to fraction form
    124,742/191,725.50 = 191,725.50/x
  3. Step 3: Cross multiply
    124,742x = 191,725.50 × 191,725.50
  4. Step 4: Simplify right side
    124,742x = 36,758,667,350.25
  5. Step 5: Solve for x
    x = 36,758,667,350.25/124,742
  6. Step 6: Final answer
    x = 294,677.55

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.