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Finding the Third Proportional to 20,978.50 and 45,609

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Solution

The third proportional to 20,978.50 and 45,609 is: 99,157.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,978.50 : 45,609 = 45,609 : x
  2. Step 2: Convert to fraction form
    20,978.50/45,609 = 45,609/x
  3. Step 3: Cross multiply
    20,978.50x = 45,609 × 45,609
  4. Step 4: Simplify right side
    20,978.50x = 2,080,180,881
  5. Step 5: Solve for x
    x = 2,080,180,881/20,978.50
  6. Step 6: Final answer
    x = 99,157.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.