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Finding the Third Proportional to 193,852.50 and 283,260

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Solution

The third proportional to 193,852.50 and 283,260 is: 413,903.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,852.50 : 283,260 = 283,260 : x
  2. Step 2: Convert to fraction form
    193,852.50/283,260 = 283,260/x
  3. Step 3: Cross multiply
    193,852.50x = 283,260 × 283,260
  4. Step 4: Simplify right side
    193,852.50x = 80,236,227,600
  5. Step 5: Solve for x
    x = 80,236,227,600/193,852.50
  6. Step 6: Final answer
    x = 413,903.50

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.