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Finding the Third Proportional to 923.50 and 2,178.25

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Solution

The third proportional to 923.50 and 2,178.25 is: 5,137.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.50 : 2,178.25 = 2,178.25 : x
  2. Step 2: Convert to fraction form
    923.50/2,178.25 = 2,178.25/x
  3. Step 3: Cross multiply
    923.50x = 2,178.25 × 2,178.25
  4. Step 4: Simplify right side
    923.50x = 4,744,773.06
  5. Step 5: Solve for x
    x = 4,744,773.06/923.50
  6. Step 6: Final answer
    x = 5,137.82

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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.