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Finding the Third Proportional to 9,090.50 and 12,276.50

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Solution

The third proportional to 9,090.50 and 12,276.50 is: 16,579.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,090.50 : 12,276.50 = 12,276.50 : x
  2. Step 2: Convert to fraction form
    9,090.50/12,276.50 = 12,276.50/x
  3. Step 3: Cross multiply
    9,090.50x = 12,276.50 × 12,276.50
  4. Step 4: Simplify right side
    9,090.50x = 150,712,452.25
  5. Step 5: Solve for x
    x = 150,712,452.25/9,090.50
  6. Step 6: Final answer
    x = 16,579.12

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.