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Finding the Third Proportional to 6,306.19 and 6,989.63

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Solution

The third proportional to 6,306.19 and 6,989.63 is: 7,747.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.19 : 6,989.63 = 6,989.63 : x
  2. Step 2: Convert to fraction form
    6,306.19/6,989.63 = 6,989.63/x
  3. Step 3: Cross multiply
    6,306.19x = 6,989.63 × 6,989.63
  4. Step 4: Simplify right side
    6,306.19x = 48,854,857.64
  5. Step 5: Solve for x
    x = 48,854,857.64/6,306.19
  6. Step 6: Final answer
    x = 7,747.13

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.