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Finding the Third Proportional to 6,858.42 and 9,315.42

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Solution

The third proportional to 6,858.42 and 9,315.42 is: 12,652.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.42 : 9,315.42 = 9,315.42 : x
  2. Step 2: Convert to fraction form
    6,858.42/9,315.42 = 9,315.42/x
  3. Step 3: Cross multiply
    6,858.42x = 9,315.42 × 9,315.42
  4. Step 4: Simplify right side
    6,858.42x = 86,777,084.71
  5. Step 5: Solve for x
    x = 86,777,084.71/6,858.42
  6. Step 6: Final answer
    x = 12,652.63

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.