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Finding the Third Proportional to 18,415 and 28,807

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Solution

The third proportional to 18,415 and 28,807 is: 45,063.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,415 : 28,807 = 28,807 : x
  2. Step 2: Convert to fraction form
    18,415/28,807 = 28,807/x
  3. Step 3: Cross multiply
    18,415x = 28,807 × 28,807
  4. Step 4: Simplify right side
    18,415x = 829,843,249
  5. Step 5: Solve for x
    x = 829,843,249/18,415
  6. Step 6: Final answer
    x = 45,063.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.