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Finding the Third Proportional to 8,215,100 and 18,319,120

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Solution

The third proportional to 8,215,100 and 18,319,120 is: 40,850,404.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215,100 : 18,319,120 = 18,319,120 : x
  2. Step 2: Convert to fraction form
    8,215,100/18,319,120 = 18,319,120/x
  3. Step 3: Cross multiply
    8,215,100x = 18,319,120 × 18,319,120
  4. Step 4: Simplify right side
    8,215,100x = 335,590,157,574,400
  5. Step 5: Solve for x
    x = 335,590,157,574,400/8,215,100
  6. Step 6: Final answer
    x = 40,850,404.45

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.