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Finding the Third Proportional to 81,756,928 and 178,029,056

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Solution

The third proportional to 81,756,928 and 178,029,056 is: 387,665,553.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,756,928 : 178,029,056 = 178,029,056 : x
  2. Step 2: Convert to fraction form
    81,756,928/178,029,056 = 178,029,056/x
  3. Step 3: Cross multiply
    81,756,928x = 178,029,056 × 178,029,056
  4. Step 4: Simplify right side
    81,756,928x = 31,694,344,780,251,136
  5. Step 5: Solve for x
    x = 31,694,344,780,251,136/81,756,928
  6. Step 6: Final answer
    x = 387,665,553.92

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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.