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Finding the Third Proportional to 86,474,412 and 188,905,180

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Solution

The third proportional to 86,474,412 and 188,905,180 is: 412,667,356.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,474,412 : 188,905,180 = 188,905,180 : x
  2. Step 2: Convert to fraction form
    86,474,412/188,905,180 = 188,905,180/x
  3. Step 3: Cross multiply
    86,474,412x = 188,905,180 × 188,905,180
  4. Step 4: Simplify right side
    86,474,412x = 35,685,167,030,832,400
  5. Step 5: Solve for x
    x = 35,685,167,030,832,400/86,474,412
  6. Step 6: Final answer
    x = 412,667,356.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.