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Finding the Third Proportional to 785,227,112 and 1,701,318,328

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Solution

The third proportional to 785,227,112 and 1,701,318,328 is: 3,686,174,367.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,227,112 : 1,701,318,328 = 1,701,318,328 : x
  2. Step 2: Convert to fraction form
    785,227,112/1,701,318,328 = 1,701,318,328/x
  3. Step 3: Cross multiply
    785,227,112x = 1,701,318,328 × 1,701,318,328
  4. Step 4: Simplify right side
    785,227,112x = 2,894,484,053,188,715,520
  5. Step 5: Solve for x
    x = 2,894,484,053,188,715,520/785,227,112
  6. Step 6: Final answer
    x = 3,686,174,367.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.