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Finding the Third Proportional to 23,490 and 30,811.50

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Solution

The third proportional to 23,490 and 30,811.50 is: 40,415.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,490 : 30,811.50 = 30,811.50 : x
  2. Step 2: Convert to fraction form
    23,490/30,811.50 = 30,811.50/x
  3. Step 3: Cross multiply
    23,490x = 30,811.50 × 30,811.50
  4. Step 4: Simplify right side
    23,490x = 949,348,532.25
  5. Step 5: Solve for x
    x = 949,348,532.25/23,490
  6. Step 6: Final answer
    x = 40,415.01

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.