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Finding the Third Proportional to 518,958 and 663,120

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Solution

The third proportional to 518,958 and 663,120 is: 847,328.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,958 : 663,120 = 663,120 : x
  2. Step 2: Convert to fraction form
    518,958/663,120 = 663,120/x
  3. Step 3: Cross multiply
    518,958x = 663,120 × 663,120
  4. Step 4: Simplify right side
    518,958x = 439,728,134,400
  5. Step 5: Solve for x
    x = 439,728,134,400/518,958
  6. Step 6: Final answer
    x = 847,328.94

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.