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Finding the Third Proportional to 918,789,871 and 1,412,245,873

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Solution

The third proportional to 918,789,871 and 1,412,245,873 is: 2,170,723,109.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,789,871 : 1,412,245,873 = 1,412,245,873 : x
  2. Step 2: Convert to fraction form
    918,789,871/1,412,245,873 = 1,412,245,873/x
  3. Step 3: Cross multiply
    918,789,871x = 1,412,245,873 × 1,412,245,873
  4. Step 4: Simplify right side
    918,789,871x = 1,994,438,405,805,532,160
  5. Step 5: Solve for x
    x = 1,994,438,405,805,532,160/918,789,871
  6. Step 6: Final answer
    x = 2,170,723,109.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.