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Finding the Third Proportional to 111,420 and 168,075

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Solution

The third proportional to 111,420 and 168,075 is: 253,538.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,420 : 168,075 = 168,075 : x
  2. Step 2: Convert to fraction form
    111,420/168,075 = 168,075/x
  3. Step 3: Cross multiply
    111,420x = 168,075 × 168,075
  4. Step 4: Simplify right side
    111,420x = 28,249,205,625
  5. Step 5: Solve for x
    x = 28,249,205,625/111,420
  6. Step 6: Final answer
    x = 253,538.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.