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Finding the Third Proportional to 115,069 and 251,657

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Solution

The third proportional to 115,069 and 251,657 is: 550,376.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,069 : 251,657 = 251,657 : x
  2. Step 2: Convert to fraction form
    115,069/251,657 = 251,657/x
  3. Step 3: Cross multiply
    115,069x = 251,657 × 251,657
  4. Step 4: Simplify right side
    115,069x = 63,331,245,649
  5. Step 5: Solve for x
    x = 63,331,245,649/115,069
  6. Step 6: Final answer
    x = 550,376.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.