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Finding the Third Proportional to 518,624.25 and 699,143.25

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Solution

The third proportional to 518,624.25 and 699,143.25 is: 942,496.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,624.25 : 699,143.25 = 699,143.25 : x
  2. Step 2: Convert to fraction form
    518,624.25/699,143.25 = 699,143.25/x
  3. Step 3: Cross multiply
    518,624.25x = 699,143.25 × 699,143.25
  4. Step 4: Simplify right side
    518,624.25x = 488,801,284,020.56
  5. Step 5: Solve for x
    x = 488,801,284,020.56/518,624.25
  6. Step 6: Final answer
    x = 942,496.01

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.