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Finding the Third Proportional to 1,506.75 and 3,584.25

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Solution

The third proportional to 1,506.75 and 3,584.25 is: 8,526.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.75 : 3,584.25 = 3,584.25 : x
  2. Step 2: Convert to fraction form
    1,506.75/3,584.25 = 3,584.25/x
  3. Step 3: Cross multiply
    1,506.75x = 3,584.25 × 3,584.25
  4. Step 4: Simplify right side
    1,506.75x = 12,846,848.06
  5. Step 5: Solve for x
    x = 12,846,848.06/1,506.75
  6. Step 6: Final answer
    x = 8,526.20

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.