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Finding the Third Proportional to 20,776 and 45,706

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Solution

The third proportional to 20,776 and 45,706 is: 100,550.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,776 : 45,706 = 45,706 : x
  2. Step 2: Convert to fraction form
    20,776/45,706 = 45,706/x
  3. Step 3: Cross multiply
    20,776x = 45,706 × 45,706
  4. Step 4: Simplify right side
    20,776x = 2,089,038,436
  5. Step 5: Solve for x
    x = 2,089,038,436/20,776
  6. Step 6: Final answer
    x = 100,550.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.