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Finding the Third Proportional to 136,850 and 210,075

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Solution

The third proportional to 136,850 and 210,075 is: 322,480.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,850 : 210,075 = 210,075 : x
  2. Step 2: Convert to fraction form
    136,850/210,075 = 210,075/x
  3. Step 3: Cross multiply
    136,850x = 210,075 × 210,075
  4. Step 4: Simplify right side
    136,850x = 44,131,505,625
  5. Step 5: Solve for x
    x = 44,131,505,625/136,850
  6. Step 6: Final answer
    x = 322,480.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.