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Finding the Third Proportional to 434,016 and 663,531.75

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Solution

The third proportional to 434,016 and 663,531.75 is: 1,014,419.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,016 : 663,531.75 = 663,531.75 : x
  2. Step 2: Convert to fraction form
    434,016/663,531.75 = 663,531.75/x
  3. Step 3: Cross multiply
    434,016x = 663,531.75 × 663,531.75
  4. Step 4: Simplify right side
    434,016x = 440,274,383,258.06
  5. Step 5: Solve for x
    x = 440,274,383,258.06/434,016
  6. Step 6: Final answer
    x = 1,014,419.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.