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Finding the Third Proportional to 68,679,056 and 145,545,376

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Solution

The third proportional to 68,679,056 and 145,545,376 is: 308,441,287.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,679,056 : 145,545,376 = 145,545,376 : x
  2. Step 2: Convert to fraction form
    68,679,056/145,545,376 = 145,545,376/x
  3. Step 3: Cross multiply
    68,679,056x = 145,545,376 × 145,545,376
  4. Step 4: Simplify right side
    68,679,056x = 21,183,456,474,981,376
  5. Step 5: Solve for x
    x = 21,183,456,474,981,376/68,679,056
  6. Step 6: Final answer
    x = 308,441,287.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.