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Finding the Third Proportional to 7,140 and 8,004

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Solution

The third proportional to 7,140 and 8,004 is: 8,972.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140 : 8,004 = 8,004 : x
  2. Step 2: Convert to fraction form
    7,140/8,004 = 8,004/x
  3. Step 3: Cross multiply
    7,140x = 8,004 × 8,004
  4. Step 4: Simplify right side
    7,140x = 64,064,016
  5. Step 5: Solve for x
    x = 64,064,016/7,140
  6. Step 6: Final answer
    x = 8,972.55

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.