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Finding the Third Proportional to 9,783 and 23,075

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Solution

The third proportional to 9,783 and 23,075 is: 54,426.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783 : 23,075 = 23,075 : x
  2. Step 2: Convert to fraction form
    9,783/23,075 = 23,075/x
  3. Step 3: Cross multiply
    9,783x = 23,075 × 23,075
  4. Step 4: Simplify right side
    9,783x = 532,455,625
  5. Step 5: Solve for x
    x = 532,455,625/9,783
  6. Step 6: Final answer
    x = 54,426.62

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.