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Finding the Third Proportional to 551,106 and 843,021

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Solution

The third proportional to 551,106 and 843,021 is: 1,289,560.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,106 : 843,021 = 843,021 : x
  2. Step 2: Convert to fraction form
    551,106/843,021 = 843,021/x
  3. Step 3: Cross multiply
    551,106x = 843,021 × 843,021
  4. Step 4: Simplify right side
    551,106x = 710,684,406,441
  5. Step 5: Solve for x
    x = 710,684,406,441/551,106
  6. Step 6: Final answer
    x = 1,289,560.28

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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.