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Finding the Third Proportional to 20,920.75 and 45,988

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Solution

The third proportional to 20,920.75 and 45,988 is: 101,090.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,920.75 : 45,988 = 45,988 : x
  2. Step 2: Convert to fraction form
    20,920.75/45,988 = 45,988/x
  3. Step 3: Cross multiply
    20,920.75x = 45,988 × 45,988
  4. Step 4: Simplify right side
    20,920.75x = 2,114,896,144
  5. Step 5: Solve for x
    x = 2,114,896,144/20,920.75
  6. Step 6: Final answer
    x = 101,090.84

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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.