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Finding the Third Proportional to 135,969 and 291,621

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Solution

The third proportional to 135,969 and 291,621 is: 625,457.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,969 : 291,621 = 291,621 : x
  2. Step 2: Convert to fraction form
    135,969/291,621 = 291,621/x
  3. Step 3: Cross multiply
    135,969x = 291,621 × 291,621
  4. Step 4: Simplify right side
    135,969x = 85,042,807,641
  5. Step 5: Solve for x
    x = 85,042,807,641/135,969
  6. Step 6: Final answer
    x = 625,457.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.