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Finding the Third Proportional to 20,565 and 30,763

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Solution

The third proportional to 20,565 and 30,763 is: 46,018.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,565 : 30,763 = 30,763 : x
  2. Step 2: Convert to fraction form
    20,565/30,763 = 30,763/x
  3. Step 3: Cross multiply
    20,565x = 30,763 × 30,763
  4. Step 4: Simplify right side
    20,565x = 946,362,169
  5. Step 5: Solve for x
    x = 946,362,169/20,565
  6. Step 6: Final answer
    x = 46,018.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.