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Finding the Third Proportional to 5,315 and 7,985

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Solution

The third proportional to 5,315 and 7,985 is: 11,996.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,315 : 7,985 = 7,985 : x
  2. Step 2: Convert to fraction form
    5,315/7,985 = 7,985/x
  3. Step 3: Cross multiply
    5,315x = 7,985 × 7,985
  4. Step 4: Simplify right side
    5,315x = 63,760,225
  5. Step 5: Solve for x
    x = 63,760,225/5,315
  6. Step 6: Final answer
    x = 11,996.28

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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.