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Finding the Third Proportional to 128,420.44 and 204,522.47

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Solution

The third proportional to 128,420.44 and 204,522.47 is: 325,722.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,420.44 : 204,522.47 = 204,522.47 : x
  2. Step 2: Convert to fraction form
    128,420.44/204,522.47 = 204,522.47/x
  3. Step 3: Cross multiply
    128,420.44x = 204,522.47 × 204,522.47
  4. Step 4: Simplify right side
    128,420.44x = 41,829,440,223.59
  5. Step 5: Solve for x
    x = 41,829,440,223.59/128,420.44
  6. Step 6: Final answer
    x = 325,722.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.