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Finding the Third Proportional to 68,088,812 and 145,643,917

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Solution

The third proportional to 68,088,812 and 145,643,917 is: 311,536,505.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,088,812 : 145,643,917 = 145,643,917 : x
  2. Step 2: Convert to fraction form
    68,088,812/145,643,917 = 145,643,917/x
  3. Step 3: Cross multiply
    68,088,812x = 145,643,917 × 145,643,917
  4. Step 4: Simplify right side
    68,088,812x = 21,212,150,559,102,888
  5. Step 5: Solve for x
    x = 21,212,150,559,102,888/68,088,812
  6. Step 6: Final answer
    x = 311,536,505.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.