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Finding the Third Proportional to 30,681,431 and 68,173,318

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Solution

The third proportional to 30,681,431 and 68,173,318 is: 151,479,286.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,681,431 : 68,173,318 = 68,173,318 : x
  2. Step 2: Convert to fraction form
    30,681,431/68,173,318 = 68,173,318/x
  3. Step 3: Cross multiply
    30,681,431x = 68,173,318 × 68,173,318
  4. Step 4: Simplify right side
    30,681,431x = 4,647,601,287,129,124
  5. Step 5: Solve for x
    x = 4,647,601,287,129,124/30,681,431
  6. Step 6: Final answer
    x = 151,479,286.84

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.