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Finding the Third Proportional to 30,220 and 40,388

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Solution

The third proportional to 30,220 and 40,388 is: 53,977.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,220 : 40,388 = 40,388 : x
  2. Step 2: Convert to fraction form
    30,220/40,388 = 40,388/x
  3. Step 3: Cross multiply
    30,220x = 40,388 × 40,388
  4. Step 4: Simplify right side
    30,220x = 1,631,190,544
  5. Step 5: Solve for x
    x = 1,631,190,544/30,220
  6. Step 6: Final answer
    x = 53,977.19

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.