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Finding the Third Proportional to 918,170,936 and 1,967,331,012

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Solution

The third proportional to 918,170,936 and 1,967,331,012 is: 4,215,327,624.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,170,936 : 1,967,331,012 = 1,967,331,012 : x
  2. Step 2: Convert to fraction form
    918,170,936/1,967,331,012 = 1,967,331,012/x
  3. Step 3: Cross multiply
    918,170,936x = 1,967,331,012 × 1,967,331,012
  4. Step 4: Simplify right side
    918,170,936x = 3,870,391,310,776,944,128
  5. Step 5: Solve for x
    x = 3,870,391,310,776,944,128/918,170,936
  6. Step 6: Final answer
    x = 4,215,327,624.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.