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Finding the Third Proportional to 8,215,128 and 18,319,180

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Solution

The third proportional to 8,215,128 and 18,319,180 is: 40,850,532.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215,128 : 18,319,180 = 18,319,180 : x
  2. Step 2: Convert to fraction form
    8,215,128/18,319,180 = 18,319,180/x
  3. Step 3: Cross multiply
    8,215,128x = 18,319,180 × 18,319,180
  4. Step 4: Simplify right side
    8,215,128x = 335,592,355,872,400
  5. Step 5: Solve for x
    x = 335,592,355,872,400/8,215,128
  6. Step 6: Final answer
    x = 40,850,532.81

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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.