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Finding the Third Proportional to 69,625 and 142,937

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Solution

The third proportional to 69,625 and 142,937 is: 293,443.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,625 : 142,937 = 142,937 : x
  2. Step 2: Convert to fraction form
    69,625/142,937 = 142,937/x
  3. Step 3: Cross multiply
    69,625x = 142,937 × 142,937
  4. Step 4: Simplify right side
    69,625x = 20,430,985,969
  5. Step 5: Solve for x
    x = 20,430,985,969/69,625
  6. Step 6: Final answer
    x = 293,443.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.