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Finding the Third Proportional to 128,261.06 and 281,148.75

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Solution

The third proportional to 128,261.06 and 281,148.75 is: 616,279.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,261.06 : 281,148.75 = 281,148.75 : x
  2. Step 2: Convert to fraction form
    128,261.06/281,148.75 = 281,148.75/x
  3. Step 3: Cross multiply
    128,261.06x = 281,148.75 × 281,148.75
  4. Step 4: Simplify right side
    128,261.06x = 79,044,619,626.56
  5. Step 5: Solve for x
    x = 79,044,619,626.56/128,261.06
  6. Step 6: Final answer
    x = 616,279.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.