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Finding the Third Proportional to 128,720 and 193,944

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Solution

The third proportional to 128,720 and 193,944 is: 292,217.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,720 : 193,944 = 193,944 : x
  2. Step 2: Convert to fraction form
    128,720/193,944 = 193,944/x
  3. Step 3: Cross multiply
    128,720x = 193,944 × 193,944
  4. Step 4: Simplify right side
    128,720x = 37,614,275,136
  5. Step 5: Solve for x
    x = 37,614,275,136/128,720
  6. Step 6: Final answer
    x = 292,217.80

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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.