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Finding the Third Proportional to 93,160 and 202,075

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Solution

The third proportional to 93,160 and 202,075 is: 438,324.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,160 : 202,075 = 202,075 : x
  2. Step 2: Convert to fraction form
    93,160/202,075 = 202,075/x
  3. Step 3: Cross multiply
    93,160x = 202,075 × 202,075
  4. Step 4: Simplify right side
    93,160x = 40,834,305,625
  5. Step 5: Solve for x
    x = 40,834,305,625/93,160
  6. Step 6: Final answer
    x = 438,324.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.