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Finding the Third Proportional to 11,140.50 and 23,361

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Solution

The third proportional to 11,140.50 and 23,361 is: 48,986.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,140.50 : 23,361 = 23,361 : x
  2. Step 2: Convert to fraction form
    11,140.50/23,361 = 23,361/x
  3. Step 3: Cross multiply
    11,140.50x = 23,361 × 23,361
  4. Step 4: Simplify right side
    11,140.50x = 545,736,321
  5. Step 5: Solve for x
    x = 545,736,321/11,140.50
  6. Step 6: Final answer
    x = 48,986.70

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.