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Finding the Third Proportional to 15,278 and 21,797

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Solution

The third proportional to 15,278 and 21,797 is: 31,097.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,278 : 21,797 = 21,797 : x
  2. Step 2: Convert to fraction form
    15,278/21,797 = 21,797/x
  3. Step 3: Cross multiply
    15,278x = 21,797 × 21,797
  4. Step 4: Simplify right side
    15,278x = 475,109,209
  5. Step 5: Solve for x
    x = 475,109,209/15,278
  6. Step 6: Final answer
    x = 31,097.60

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.