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Finding the Third Proportional to 195,531.47 and 278,910.84

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Solution

The third proportional to 195,531.47 and 278,910.84 is: 397,845.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,531.47 : 278,910.84 = 278,910.84 : x
  2. Step 2: Convert to fraction form
    195,531.47/278,910.84 = 278,910.84/x
  3. Step 3: Cross multiply
    195,531.47x = 278,910.84 × 278,910.84
  4. Step 4: Simplify right side
    195,531.47x = 77,791,258,761.34
  5. Step 5: Solve for x
    x = 77,791,258,761.34/195,531.47
  6. Step 6: Final answer
    x = 397,845.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.