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Finding the Third Proportional to 14,112 and 31,564.50

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Solution

The third proportional to 14,112 and 31,564.50 is: 70,600.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,112 : 31,564.50 = 31,564.50 : x
  2. Step 2: Convert to fraction form
    14,112/31,564.50 = 31,564.50/x
  3. Step 3: Cross multiply
    14,112x = 31,564.50 × 31,564.50
  4. Step 4: Simplify right side
    14,112x = 996,317,660.25
  5. Step 5: Solve for x
    x = 996,317,660.25/14,112
  6. Step 6: Final answer
    x = 70,600.74

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These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.