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Finding the Third Proportional to 458,120.25 and 699,026.63

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Solution

The third proportional to 458,120.25 and 699,026.63 is: 1,066,615.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,120.25 : 699,026.63 = 699,026.63 : x
  2. Step 2: Convert to fraction form
    458,120.25/699,026.63 = 699,026.63/x
  3. Step 3: Cross multiply
    458,120.25x = 699,026.63 × 699,026.63
  4. Step 4: Simplify right side
    458,120.25x = 488,638,222,458.89
  5. Step 5: Solve for x
    x = 488,638,222,458.89/458,120.25
  6. Step 6: Final answer
    x = 1,066,615.64

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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.