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Finding the Third Proportional to 551,055 and 843,000

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Solution

The third proportional to 551,055 and 843,000 is: 1,289,615.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,055 : 843,000 = 843,000 : x
  2. Step 2: Convert to fraction form
    551,055/843,000 = 843,000/x
  3. Step 3: Cross multiply
    551,055x = 843,000 × 843,000
  4. Step 4: Simplify right side
    551,055x = 710,649,000,000
  5. Step 5: Solve for x
    x = 710,649,000,000/551,055
  6. Step 6: Final answer
    x = 1,289,615.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.