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Finding the Third Proportional to 19,896 and 31,054.88

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Solution

The third proportional to 19,896 and 31,054.88 is: 48,472.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,896 : 31,054.88 = 31,054.88 : x
  2. Step 2: Convert to fraction form
    19,896/31,054.88 = 31,054.88/x
  3. Step 3: Cross multiply
    19,896x = 31,054.88 × 31,054.88
  4. Step 4: Simplify right side
    19,896x = 964,405,261.27
  5. Step 5: Solve for x
    x = 964,405,261.27/19,896
  6. Step 6: Final answer
    x = 48,472.32

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.