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Finding the Third Proportional to 18,726 and 28,210

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Solution

The third proportional to 18,726 and 28,210 is: 42,497.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,726 : 28,210 = 28,210 : x
  2. Step 2: Convert to fraction form
    18,726/28,210 = 28,210/x
  3. Step 3: Cross multiply
    18,726x = 28,210 × 28,210
  4. Step 4: Simplify right side
    18,726x = 795,804,100
  5. Step 5: Solve for x
    x = 795,804,100/18,726
  6. Step 6: Final answer
    x = 42,497.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.