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Finding the Third Proportional to 128,344.50 and 279,065.25

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Solution

The third proportional to 128,344.50 and 279,065.25 is: 606,784.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,344.50 : 279,065.25 = 279,065.25 : x
  2. Step 2: Convert to fraction form
    128,344.50/279,065.25 = 279,065.25/x
  3. Step 3: Cross multiply
    128,344.50x = 279,065.25 × 279,065.25
  4. Step 4: Simplify right side
    128,344.50x = 77,877,413,757.56
  5. Step 5: Solve for x
    x = 77,877,413,757.56/128,344.50
  6. Step 6: Final answer
    x = 606,784.19

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.