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Finding the Third Proportional to 5,721 and 6,315

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Solution

The third proportional to 5,721 and 6,315 is: 6,970.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,721 : 6,315 = 6,315 : x
  2. Step 2: Convert to fraction form
    5,721/6,315 = 6,315/x
  3. Step 3: Cross multiply
    5,721x = 6,315 × 6,315
  4. Step 4: Simplify right side
    5,721x = 39,879,225
  5. Step 5: Solve for x
    x = 39,879,225/5,721
  6. Step 6: Final answer
    x = 6,970.67

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.