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Finding the Third Proportional to 458,118 and 699,023

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Solution

The third proportional to 458,118 and 699,023 is: 1,066,609.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,118 : 699,023 = 699,023 : x
  2. Step 2: Convert to fraction form
    458,118/699,023 = 699,023/x
  3. Step 3: Cross multiply
    458,118x = 699,023 × 699,023
  4. Step 4: Simplify right side
    458,118x = 488,633,154,529
  5. Step 5: Solve for x
    x = 488,633,154,529/458,118
  6. Step 6: Final answer
    x = 1,066,609.81

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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.