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Finding the Third Proportional to 279,978.75 and 432,344.25

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Solution

The third proportional to 279,978.75 and 432,344.25 is: 667,627.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,978.75 : 432,344.25 = 432,344.25 : x
  2. Step 2: Convert to fraction form
    279,978.75/432,344.25 = 432,344.25/x
  3. Step 3: Cross multiply
    279,978.75x = 432,344.25 × 432,344.25
  4. Step 4: Simplify right side
    279,978.75x = 186,921,550,508.06
  5. Step 5: Solve for x
    x = 186,921,550,508.06/279,978.75
  6. Step 6: Final answer
    x = 667,627.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.