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Finding the Third Proportional to 6,574 and 7,287.50

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Solution

The third proportional to 6,574 and 7,287.50 is: 8,078.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574 : 7,287.50 = 7,287.50 : x
  2. Step 2: Convert to fraction form
    6,574/7,287.50 = 7,287.50/x
  3. Step 3: Cross multiply
    6,574x = 7,287.50 × 7,287.50
  4. Step 4: Simplify right side
    6,574x = 53,107,656.25
  5. Step 5: Solve for x
    x = 53,107,656.25/6,574
  6. Step 6: Final answer
    x = 8,078.44

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.