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Finding the Third Proportional to 10,276 and 15,392

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Solution

The third proportional to 10,276 and 15,392 is: 23,055.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,276 : 15,392 = 15,392 : x
  2. Step 2: Convert to fraction form
    10,276/15,392 = 15,392/x
  3. Step 3: Cross multiply
    10,276x = 15,392 × 15,392
  4. Step 4: Simplify right side
    10,276x = 236,913,664
  5. Step 5: Solve for x
    x = 236,913,664/10,276
  6. Step 6: Final answer
    x = 23,055.05

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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.