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Finding the Third Proportional to 987,345,106 and 2,056,412,180

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Solution

The third proportional to 987,345,106 and 2,056,412,180 is: 4,283,032,374.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    987,345,106 : 2,056,412,180 = 2,056,412,180 : x
  2. Step 2: Convert to fraction form
    987,345,106/2,056,412,180 = 2,056,412,180/x
  3. Step 3: Cross multiply
    987,345,106x = 2,056,412,180 × 2,056,412,180
  4. Step 4: Simplify right side
    987,345,106x = 4,228,831,054,052,352,512
  5. Step 5: Solve for x
    x = 4,228,831,054,052,352,512/987,345,106
  6. Step 6: Final answer
    x = 4,283,032,374.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.