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Finding the Third Proportional to 259,171.88 and 386,759.25

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Solution

The third proportional to 259,171.88 and 386,759.25 is: 577,156.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,171.88 : 386,759.25 = 386,759.25 : x
  2. Step 2: Convert to fraction form
    259,171.88/386,759.25 = 386,759.25/x
  3. Step 3: Cross multiply
    259,171.88x = 386,759.25 × 386,759.25
  4. Step 4: Simplify right side
    259,171.88x = 149,582,717,460.56
  5. Step 5: Solve for x
    x = 149,582,717,460.56/259,171.88
  6. Step 6: Final answer
    x = 577,156.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.