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Finding the Third Proportional to 11,342 and 15,448.50

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Solution

The third proportional to 11,342 and 15,448.50 is: 21,041.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,342 : 15,448.50 = 15,448.50 : x
  2. Step 2: Convert to fraction form
    11,342/15,448.50 = 15,448.50/x
  3. Step 3: Cross multiply
    11,342x = 15,448.50 × 15,448.50
  4. Step 4: Simplify right side
    11,342x = 238,656,152.25
  5. Step 5: Solve for x
    x = 238,656,152.25/11,342
  6. Step 6: Final answer
    x = 21,041.80

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.