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Finding the Third Proportional to 28,278 and 40,203

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Solution

The third proportional to 28,278 and 40,203 is: 57,156.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,278 : 40,203 = 40,203 : x
  2. Step 2: Convert to fraction form
    28,278/40,203 = 40,203/x
  3. Step 3: Cross multiply
    28,278x = 40,203 × 40,203
  4. Step 4: Simplify right side
    28,278x = 1,616,281,209
  5. Step 5: Solve for x
    x = 1,616,281,209/28,278
  6. Step 6: Final answer
    x = 57,156.84

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.