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Finding the Third Proportional to 125,205.75 and 193,792.50

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Solution

The third proportional to 125,205.75 and 193,792.50 is: 299,950.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,205.75 : 193,792.50 = 193,792.50 : x
  2. Step 2: Convert to fraction form
    125,205.75/193,792.50 = 193,792.50/x
  3. Step 3: Cross multiply
    125,205.75x = 193,792.50 × 193,792.50
  4. Step 4: Simplify right side
    125,205.75x = 37,555,533,056.25
  5. Step 5: Solve for x
    x = 37,555,533,056.25/125,205.75
  6. Step 6: Final answer
    x = 299,950.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.