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Finding the Third Proportional to 400,584,220 and 854,080,720

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Solution

The third proportional to 400,584,220 and 854,080,720 is: 1,820,975,065.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,584,220 : 854,080,720 = 854,080,720 : x
  2. Step 2: Convert to fraction form
    400,584,220/854,080,720 = 854,080,720/x
  3. Step 3: Cross multiply
    400,584,220x = 854,080,720 × 854,080,720
  4. Step 4: Simplify right side
    400,584,220x = 729,453,876,275,718,400
  5. Step 5: Solve for x
    x = 729,453,876,275,718,400/400,584,220
  6. Step 6: Final answer
    x = 1,820,975,065.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.