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Finding the Third Proportional to 39,427,968 and 86,422,203

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Solution

The third proportional to 39,427,968 and 86,422,203 is: 189,428,914.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,427,968 : 86,422,203 = 86,422,203 : x
  2. Step 2: Convert to fraction form
    39,427,968/86,422,203 = 86,422,203/x
  3. Step 3: Cross multiply
    39,427,968x = 86,422,203 × 86,422,203
  4. Step 4: Simplify right side
    39,427,968x = 7,468,797,171,373,209
  5. Step 5: Solve for x
    x = 7,468,797,171,373,209/39,427,968
  6. Step 6: Final answer
    x = 189,428,914.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.