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Finding the Third Proportional to 223,052,760 and 483,162,048

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Solution

The third proportional to 223,052,760 and 483,162,048 is: 1,046,593,481.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,052,760 : 483,162,048 = 483,162,048 : x
  2. Step 2: Convert to fraction form
    223,052,760/483,162,048 = 483,162,048/x
  3. Step 3: Cross multiply
    223,052,760x = 483,162,048 × 483,162,048
  4. Step 4: Simplify right side
    223,052,760x = 233,445,564,627,554,304
  5. Step 5: Solve for x
    x = 233,445,564,627,554,304/223,052,760
  6. Step 6: Final answer
    x = 1,046,593,481.41

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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.