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Finding the Third Proportional to 19,824.75 and 30,678.75

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Solution

The third proportional to 19,824.75 and 30,678.75 is: 47,475.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,824.75 : 30,678.75 = 30,678.75 : x
  2. Step 2: Convert to fraction form
    19,824.75/30,678.75 = 30,678.75/x
  3. Step 3: Cross multiply
    19,824.75x = 30,678.75 × 30,678.75
  4. Step 4: Simplify right side
    19,824.75x = 941,185,701.56
  5. Step 5: Solve for x
    x = 941,185,701.56/19,824.75
  6. Step 6: Final answer
    x = 47,475.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.