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Finding the Third Proportional to 6,068.25 and 9,064.50

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Solution

The third proportional to 6,068.25 and 9,064.50 is: 13,540.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,068.25 : 9,064.50 = 9,064.50 : x
  2. Step 2: Convert to fraction form
    6,068.25/9,064.50 = 9,064.50/x
  3. Step 3: Cross multiply
    6,068.25x = 9,064.50 × 9,064.50
  4. Step 4: Simplify right side
    6,068.25x = 82,165,160.25
  5. Step 5: Solve for x
    x = 82,165,160.25/6,068.25
  6. Step 6: Final answer
    x = 13,540.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.