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Finding the Third Proportional to 94,213 and 202,075

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Solution

The third proportional to 94,213 and 202,075 is: 433,425.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,213 : 202,075 = 202,075 : x
  2. Step 2: Convert to fraction form
    94,213/202,075 = 202,075/x
  3. Step 3: Cross multiply
    94,213x = 202,075 × 202,075
  4. Step 4: Simplify right side
    94,213x = 40,834,305,625
  5. Step 5: Solve for x
    x = 40,834,305,625/94,213
  6. Step 6: Final answer
    x = 433,425.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.