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Finding the Third Proportional to 138,743,638,647 and 220,768,403,886

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Solution

The third proportional to 138,743,638,647 and 220,768,403,886 is: 351,285,930,149.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,743,638,647 : 220,768,403,886 = 220,768,403,886 : x
  2. Step 2: Convert to fraction form
    138,743,638,647/220,768,403,886 = 220,768,403,886/x
  3. Step 3: Cross multiply
    138,743,638,647x = 220,768,403,886 × 220,768,403,886
  4. Step 4: Simplify right side
    138,743,638,647x = 48,738,688,154,372,017,225,728
  5. Step 5: Solve for x
    x = 48,738,688,154,372,017,225,728/138,743,638,647
  6. Step 6: Final answer
    x = 351,285,930,149.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.