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Finding the Third Proportional to 128,029.50 and 193,815

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Solution

The third proportional to 128,029.50 and 193,815 is: 293,403.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,029.50 : 193,815 = 193,815 : x
  2. Step 2: Convert to fraction form
    128,029.50/193,815 = 193,815/x
  3. Step 3: Cross multiply
    128,029.50x = 193,815 × 193,815
  4. Step 4: Simplify right side
    128,029.50x = 37,564,254,225
  5. Step 5: Solve for x
    x = 37,564,254,225/128,029.50
  6. Step 6: Final answer
    x = 293,403.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.