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Finding the Third Proportional to 9,225 and 21,370.50

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Solution

The third proportional to 9,225 and 21,370.50 is: 49,506.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225 : 21,370.50 = 21,370.50 : x
  2. Step 2: Convert to fraction form
    9,225/21,370.50 = 21,370.50/x
  3. Step 3: Cross multiply
    9,225x = 21,370.50 × 21,370.50
  4. Step 4: Simplify right side
    9,225x = 456,698,270.25
  5. Step 5: Solve for x
    x = 456,698,270.25/9,225
  6. Step 6: Final answer
    x = 49,506.59

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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.