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Finding the Third Proportional to 6,844.50 and 10,315.13

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Solution

The third proportional to 6,844.50 and 10,315.13 is: 15,545.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844.50 : 10,315.13 = 10,315.13 : x
  2. Step 2: Convert to fraction form
    6,844.50/10,315.13 = 10,315.13/x
  3. Step 3: Cross multiply
    6,844.50x = 10,315.13 × 10,315.13
  4. Step 4: Simplify right side
    6,844.50x = 106,401,803.77
  5. Step 5: Solve for x
    x = 106,401,803.77/6,844.50
  6. Step 6: Final answer
    x = 15,545.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.