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Finding the Third Proportional to 20,778.88 and 45,709

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Solution

The third proportional to 20,778.88 and 45,709 is: 100,549.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,778.88 : 45,709 = 45,709 : x
  2. Step 2: Convert to fraction form
    20,778.88/45,709 = 45,709/x
  3. Step 3: Cross multiply
    20,778.88x = 45,709 × 45,709
  4. Step 4: Simplify right side
    20,778.88x = 2,089,312,681
  5. Step 5: Solve for x
    x = 2,089,312,681/20,778.88
  6. Step 6: Final answer
    x = 100,549.85

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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.