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Finding the Third Proportional to 133,075 and 202,153

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Solution

The third proportional to 133,075 and 202,153 is: 307,088.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,075 : 202,153 = 202,153 : x
  2. Step 2: Convert to fraction form
    133,075/202,153 = 202,153/x
  3. Step 3: Cross multiply
    133,075x = 202,153 × 202,153
  4. Step 4: Simplify right side
    133,075x = 40,865,835,409
  5. Step 5: Solve for x
    x = 40,865,835,409/133,075
  6. Step 6: Final answer
    x = 307,088.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.