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Finding the Third Proportional to 18,283 and 39,915.50

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Solution

The third proportional to 18,283 and 39,915.50 is: 87,143.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,283 : 39,915.50 = 39,915.50 : x
  2. Step 2: Convert to fraction form
    18,283/39,915.50 = 39,915.50/x
  3. Step 3: Cross multiply
    18,283x = 39,915.50 × 39,915.50
  4. Step 4: Simplify right side
    18,283x = 1,593,247,140.25
  5. Step 5: Solve for x
    x = 1,593,247,140.25/18,283
  6. Step 6: Final answer
    x = 87,143.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.