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Finding the Third Proportional to 20,509 and 48,290

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Solution

The third proportional to 20,509 and 48,290 is: 113,702.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,509 : 48,290 = 48,290 : x
  2. Step 2: Convert to fraction form
    20,509/48,290 = 48,290/x
  3. Step 3: Cross multiply
    20,509x = 48,290 × 48,290
  4. Step 4: Simplify right side
    20,509x = 2,331,924,100
  5. Step 5: Solve for x
    x = 2,331,924,100/20,509
  6. Step 6: Final answer
    x = 113,702.48

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.