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Finding the Third Proportional to 78,057,990,675 and 105,318,557,011

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Solution

The third proportional to 78,057,990,675 and 105,318,557,011 is: 142,099,461,630.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,057,990,675 : 105,318,557,011 = 105,318,557,011 : x
  2. Step 2: Convert to fraction form
    78,057,990,675/105,318,557,011 = 105,318,557,011/x
  3. Step 3: Cross multiply
    78,057,990,675x = 105,318,557,011 × 105,318,557,011
  4. Step 4: Simplify right side
    78,057,990,675x = 11,091,998,450,879,257,640,960
  5. Step 5: Solve for x
    x = 11,091,998,450,879,257,640,960/78,057,990,675
  6. Step 6: Final answer
    x = 142,099,461,630.54

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.