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Finding the Third Proportional to 128,352 and 281,504

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Solution

The third proportional to 128,352 and 281,504 is: 617,399.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,352 : 281,504 = 281,504 : x
  2. Step 2: Convert to fraction form
    128,352/281,504 = 281,504/x
  3. Step 3: Cross multiply
    128,352x = 281,504 × 281,504
  4. Step 4: Simplify right side
    128,352x = 79,244,502,016
  5. Step 5: Solve for x
    x = 79,244,502,016/128,352
  6. Step 6: Final answer
    x = 617,399.82

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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.