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Finding the Third Proportional to 8,224,140 and 17,821,170

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Solution

The third proportional to 8,224,140 and 17,821,170 is: 38,617,302.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224,140 : 17,821,170 = 17,821,170 : x
  2. Step 2: Convert to fraction form
    8,224,140/17,821,170 = 17,821,170/x
  3. Step 3: Cross multiply
    8,224,140x = 17,821,170 × 17,821,170
  4. Step 4: Simplify right side
    8,224,140x = 317,594,100,168,900
  5. Step 5: Solve for x
    x = 317,594,100,168,900/8,224,140
  6. Step 6: Final answer
    x = 38,617,302.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.