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Finding the Third Proportional to 20,556 and 30,783.38

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Solution

The third proportional to 20,556 and 30,783.38 is: 46,099.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,556 : 30,783.38 = 30,783.38 : x
  2. Step 2: Convert to fraction form
    20,556/30,783.38 = 30,783.38/x
  3. Step 3: Cross multiply
    20,556x = 30,783.38 × 30,783.38
  4. Step 4: Simplify right side
    20,556x = 947,616,176.39
  5. Step 5: Solve for x
    x = 947,616,176.39/20,556
  6. Step 6: Final answer
    x = 46,099.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.