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Finding the Third Proportional to 458,120 and 699,025

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Solution

The third proportional to 458,120 and 699,025 is: 1,066,611.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,120 : 699,025 = 699,025 : x
  2. Step 2: Convert to fraction form
    458,120/699,025 = 699,025/x
  3. Step 3: Cross multiply
    458,120x = 699,025 × 699,025
  4. Step 4: Simplify right side
    458,120x = 488,635,950,625
  5. Step 5: Solve for x
    x = 488,635,950,625/458,120
  6. Step 6: Final answer
    x = 1,066,611.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.