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Finding the Third Proportional to 518,626 and 699,146

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Solution

The third proportional to 518,626 and 699,146 is: 942,500.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,626 : 699,146 = 699,146 : x
  2. Step 2: Convert to fraction form
    518,626/699,146 = 699,146/x
  3. Step 3: Cross multiply
    518,626x = 699,146 × 699,146
  4. Step 4: Simplify right side
    518,626x = 488,805,129,316
  5. Step 5: Solve for x
    x = 488,805,129,316/518,626
  6. Step 6: Final answer
    x = 942,500.24

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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.