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Finding the Third Proportional to 59,211 and 129,924

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Solution

The third proportional to 59,211 and 129,924 is: 285,086.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,211 : 129,924 = 129,924 : x
  2. Step 2: Convert to fraction form
    59,211/129,924 = 129,924/x
  3. Step 3: Cross multiply
    59,211x = 129,924 × 129,924
  4. Step 4: Simplify right side
    59,211x = 16,880,245,776
  5. Step 5: Solve for x
    x = 16,880,245,776/59,211
  6. Step 6: Final answer
    x = 285,086.31

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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.