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Finding the Third Proportional to 10,346 and 15,494

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Solution

The third proportional to 10,346 and 15,494 is: 23,203.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,346 : 15,494 = 15,494 : x
  2. Step 2: Convert to fraction form
    10,346/15,494 = 15,494/x
  3. Step 3: Cross multiply
    10,346x = 15,494 × 15,494
  4. Step 4: Simplify right side
    10,346x = 240,064,036
  5. Step 5: Solve for x
    x = 240,064,036/10,346
  6. Step 6: Final answer
    x = 23,203.56

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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.