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Finding the Third Proportional to 7,315 and 15,997

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Solution

The third proportional to 7,315 and 15,997 is: 34,983.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,315 : 15,997 = 15,997 : x
  2. Step 2: Convert to fraction form
    7,315/15,997 = 15,997/x
  3. Step 3: Cross multiply
    7,315x = 15,997 × 15,997
  4. Step 4: Simplify right side
    7,315x = 255,904,009
  5. Step 5: Solve for x
    x = 255,904,009/7,315
  6. Step 6: Final answer
    x = 34,983.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.