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Finding the Third Proportional to 638,587,634 and 1,379,362,276

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Solution

The third proportional to 638,587,634 and 1,379,362,276 is: 2,979,450,567.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,587,634 : 1,379,362,276 = 1,379,362,276 : x
  2. Step 2: Convert to fraction form
    638,587,634/1,379,362,276 = 1,379,362,276/x
  3. Step 3: Cross multiply
    638,587,634x = 1,379,362,276 × 1,379,362,276
  4. Step 4: Simplify right side
    638,587,634x = 1,902,640,288,451,900,160
  5. Step 5: Solve for x
    x = 1,902,640,288,451,900,160/638,587,634
  6. Step 6: Final answer
    x = 2,979,450,567.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.