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Finding the Third Proportional to 114,757 and 189,643

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Solution

The third proportional to 114,757 and 189,643 is: 313,396.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,757 : 189,643 = 189,643 : x
  2. Step 2: Convert to fraction form
    114,757/189,643 = 189,643/x
  3. Step 3: Cross multiply
    114,757x = 189,643 × 189,643
  4. Step 4: Simplify right side
    114,757x = 35,964,467,449
  5. Step 5: Solve for x
    x = 35,964,467,449/114,757
  6. Step 6: Final answer
    x = 313,396.72

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.