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Finding the Third Proportional to 785,222,856 and 1,701,310,872

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Solution

The third proportional to 785,222,856 and 1,701,310,872 is: 3,686,162,038.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,222,856 : 1,701,310,872 = 1,701,310,872 : x
  2. Step 2: Convert to fraction form
    785,222,856/1,701,310,872 = 1,701,310,872/x
  3. Step 3: Cross multiply
    785,222,856x = 1,701,310,872 × 1,701,310,872
  4. Step 4: Simplify right side
    785,222,856x = 2,894,458,683,185,400,320
  5. Step 5: Solve for x
    x = 2,894,458,683,185,400,320/785,222,856
  6. Step 6: Final answer
    x = 3,686,162,038.04

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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.