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Finding the Third Proportional to 7,031 and 8,315

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Solution

The third proportional to 7,031 and 8,315 is: 9,833.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031 : 8,315 = 8,315 : x
  2. Step 2: Convert to fraction form
    7,031/8,315 = 8,315/x
  3. Step 3: Cross multiply
    7,031x = 8,315 × 8,315
  4. Step 4: Simplify right side
    7,031x = 69,139,225
  5. Step 5: Solve for x
    x = 69,139,225/7,031
  6. Step 6: Final answer
    x = 9,833.48

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.