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Finding the Third Proportional to 458,130 and 699,042

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Solution

The third proportional to 458,130 and 699,042 is: 1,066,639.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,130 : 699,042 = 699,042 : x
  2. Step 2: Convert to fraction form
    458,130/699,042 = 699,042/x
  3. Step 3: Cross multiply
    458,130x = 699,042 × 699,042
  4. Step 4: Simplify right side
    458,130x = 488,659,717,764
  5. Step 5: Solve for x
    x = 488,659,717,764/458,130
  6. Step 6: Final answer
    x = 1,066,639.86

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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.