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Finding the Third Proportional to 6,307.50 and 9,069.38

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Solution

The third proportional to 6,307.50 and 9,069.38 is: 13,040.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.50 : 9,069.38 = 9,069.38 : x
  2. Step 2: Convert to fraction form
    6,307.50/9,069.38 = 9,069.38/x
  3. Step 3: Cross multiply
    6,307.50x = 9,069.38 × 9,069.38
  4. Step 4: Simplify right side
    6,307.50x = 82,253,562.89
  5. Step 5: Solve for x
    x = 82,253,562.89/6,307.50
  6. Step 6: Final answer
    x = 13,040.60

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.