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Finding the Third Proportional to 20,445 and 30,770

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Solution

The third proportional to 20,445 and 30,770 is: 46,309.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,445 : 30,770 = 30,770 : x
  2. Step 2: Convert to fraction form
    20,445/30,770 = 30,770/x
  3. Step 3: Cross multiply
    20,445x = 30,770 × 30,770
  4. Step 4: Simplify right side
    20,445x = 946,792,900
  5. Step 5: Solve for x
    x = 946,792,900/20,445
  6. Step 6: Final answer
    x = 46,309.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.