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Finding the Third Proportional to 128,250 and 281,100

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Solution

The third proportional to 128,250 and 281,100 is: 616,118.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,250 : 281,100 = 281,100 : x
  2. Step 2: Convert to fraction form
    128,250/281,100 = 281,100/x
  3. Step 3: Cross multiply
    128,250x = 281,100 × 281,100
  4. Step 4: Simplify right side
    128,250x = 79,017,210,000
  5. Step 5: Solve for x
    x = 79,017,210,000/128,250
  6. Step 6: Final answer
    x = 616,118.60

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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.