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Finding the Third Proportional to 10,122.75 and 18,787.50

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Solution

The third proportional to 10,122.75 and 18,787.50 is: 34,869.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122.75 : 18,787.50 = 18,787.50 : x
  2. Step 2: Convert to fraction form
    10,122.75/18,787.50 = 18,787.50/x
  3. Step 3: Cross multiply
    10,122.75x = 18,787.50 × 18,787.50
  4. Step 4: Simplify right side
    10,122.75x = 352,970,156.25
  5. Step 5: Solve for x
    x = 352,970,156.25/10,122.75
  6. Step 6: Final answer
    x = 34,869.00

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.