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Finding the Third Proportional to 223,052,786 and 483,162,100

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Solution

The third proportional to 223,052,786 and 483,162,100 is: 1,046,593,584.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,052,786 : 483,162,100 = 483,162,100 : x
  2. Step 2: Convert to fraction form
    223,052,786/483,162,100 = 483,162,100/x
  3. Step 3: Cross multiply
    223,052,786x = 483,162,100 × 483,162,100
  4. Step 4: Simplify right side
    223,052,786x = 233,445,614,876,409,984
  5. Step 5: Solve for x
    x = 233,445,614,876,409,984/223,052,786
  6. Step 6: Final answer
    x = 1,046,593,584.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.