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Finding the Third Proportional to 551,367,944.50 and 853,638,924.75

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Solution

The third proportional to 551,367,944.50 and 853,638,924.75 is: 1,321,620,926.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,367,944.50 : 853,638,924.75 = 853,638,924.75 : x
  2. Step 2: Convert to fraction form
    551,367,944.50/853,638,924.75 = 853,638,924.75/x
  3. Step 3: Cross multiply
    551,367,944.50x = 853,638,924.75 × 853,638,924.75
  4. Step 4: Simplify right side
    551,367,944.50x = 728,699,413,848,336,128
  5. Step 5: Solve for x
    x = 728,699,413,848,336,128/551,367,944.50
  6. Step 6: Final answer
    x = 1,321,620,926.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.