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Finding the Third Proportional to 18,985.50 and 28,476

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Solution

The third proportional to 18,985.50 and 28,476 is: 42,710.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,985.50 : 28,476 = 28,476 : x
  2. Step 2: Convert to fraction form
    18,985.50/28,476 = 28,476/x
  3. Step 3: Cross multiply
    18,985.50x = 28,476 × 28,476
  4. Step 4: Simplify right side
    18,985.50x = 810,882,576
  5. Step 5: Solve for x
    x = 810,882,576/18,985.50
  6. Step 6: Final answer
    x = 42,710.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.