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Finding the Third Proportional to 128,684.25 and 193,972.50

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Solution

The third proportional to 128,684.25 and 193,972.50 is: 292,384.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,684.25 : 193,972.50 = 193,972.50 : x
  2. Step 2: Convert to fraction form
    128,684.25/193,972.50 = 193,972.50/x
  3. Step 3: Cross multiply
    128,684.25x = 193,972.50 × 193,972.50
  4. Step 4: Simplify right side
    128,684.25x = 37,625,330,756.25
  5. Step 5: Solve for x
    x = 37,625,330,756.25/128,684.25
  6. Step 6: Final answer
    x = 292,384.89

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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.