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Finding the Third Proportional to 398,554,024 and 862,612,856

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Solution

The third proportional to 398,554,024 and 862,612,856 is: 1,867,001,446.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,554,024 : 862,612,856 = 862,612,856 : x
  2. Step 2: Convert to fraction form
    398,554,024/862,612,856 = 862,612,856/x
  3. Step 3: Cross multiply
    398,554,024x = 862,612,856 × 862,612,856
  4. Step 4: Simplify right side
    398,554,024x = 744,100,939,336,476,672
  5. Step 5: Solve for x
    x = 744,100,939,336,476,672/398,554,024
  6. Step 6: Final answer
    x = 1,867,001,446.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.