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Finding the Third Proportional to 10,415.53 and 22,915.41

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Solution

The third proportional to 10,415.53 and 22,915.41 is: 50,416.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.53 : 22,915.41 = 22,915.41 : x
  2. Step 2: Convert to fraction form
    10,415.53/22,915.41 = 22,915.41/x
  3. Step 3: Cross multiply
    10,415.53x = 22,915.41 × 22,915.41
  4. Step 4: Simplify right side
    10,415.53x = 525,115,843.60
  5. Step 5: Solve for x
    x = 525,115,843.60/10,415.53
  6. Step 6: Final answer
    x = 50,416.62

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.