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Finding the Third Proportional to 4,188 and 9,727.50

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Solution

The third proportional to 4,188 and 9,727.50 is: 22,594.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188 : 9,727.50 = 9,727.50 : x
  2. Step 2: Convert to fraction form
    4,188/9,727.50 = 9,727.50/x
  3. Step 3: Cross multiply
    4,188x = 9,727.50 × 9,727.50
  4. Step 4: Simplify right side
    4,188x = 94,624,256.25
  5. Step 5: Solve for x
    x = 94,624,256.25/4,188
  6. Step 6: Final answer
    x = 22,594.14

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.