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Finding the Third Proportional to 518,847.75 and 662,968.13

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Solution

The third proportional to 518,847.75 and 662,968.13 is: 847,120.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,847.75 : 662,968.13 = 662,968.13 : x
  2. Step 2: Convert to fraction form
    518,847.75/662,968.13 = 662,968.13/x
  3. Step 3: Cross multiply
    518,847.75x = 662,968.13 × 662,968.13
  4. Step 4: Simplify right side
    518,847.75x = 439,526,734,766.02
  5. Step 5: Solve for x
    x = 439,526,734,766.02/518,847.75
  6. Step 6: Final answer
    x = 847,120.83

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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.