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Finding the Third Proportional to 9,080 and 21,200.50

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Solution

The third proportional to 9,080 and 21,200.50 is: 49,500.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,080 : 21,200.50 = 21,200.50 : x
  2. Step 2: Convert to fraction form
    9,080/21,200.50 = 21,200.50/x
  3. Step 3: Cross multiply
    9,080x = 21,200.50 × 21,200.50
  4. Step 4: Simplify right side
    9,080x = 449,461,200.25
  5. Step 5: Solve for x
    x = 449,461,200.25/9,080
  6. Step 6: Final answer
    x = 49,500.13

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.