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Finding the Third Proportional to 551,102 and 843,015

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Solution

The third proportional to 551,102 and 843,015 is: 1,289,551.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,102 : 843,015 = 843,015 : x
  2. Step 2: Convert to fraction form
    551,102/843,015 = 843,015/x
  3. Step 3: Cross multiply
    551,102x = 843,015 × 843,015
  4. Step 4: Simplify right side
    551,102x = 710,674,290,225
  5. Step 5: Solve for x
    x = 710,674,290,225/551,102
  6. Step 6: Final answer
    x = 1,289,551.28

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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.