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Finding the Third Proportional to 135,064 and 293,912

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Solution

The third proportional to 135,064 and 293,912 is: 639,580.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,064 : 293,912 = 293,912 : x
  2. Step 2: Convert to fraction form
    135,064/293,912 = 293,912/x
  3. Step 3: Cross multiply
    135,064x = 293,912 × 293,912
  4. Step 4: Simplify right side
    135,064x = 86,384,263,744
  5. Step 5: Solve for x
    x = 86,384,263,744/135,064
  6. Step 6: Final answer
    x = 639,580.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.