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Finding the Third Proportional to 18,787.50 and 35,203.50

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Solution

The third proportional to 18,787.50 and 35,203.50 is: 65,963.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,787.50 : 35,203.50 = 35,203.50 : x
  2. Step 2: Convert to fraction form
    18,787.50/35,203.50 = 35,203.50/x
  3. Step 3: Cross multiply
    18,787.50x = 35,203.50 × 35,203.50
  4. Step 4: Simplify right side
    18,787.50x = 1,239,286,412.25
  5. Step 5: Solve for x
    x = 1,239,286,412.25/18,787.50
  6. Step 6: Final answer
    x = 65,963.35

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.