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Finding the Third Proportional to 551,724.75 and 843,625.13

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Solution

The third proportional to 551,724.75 and 843,625.13 is: 1,289,960.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,724.75 : 843,625.13 = 843,625.13 : x
  2. Step 2: Convert to fraction form
    551,724.75/843,625.13 = 843,625.13/x
  3. Step 3: Cross multiply
    551,724.75x = 843,625.13 × 843,625.13
  4. Step 4: Simplify right side
    551,724.75x = 711,703,351,531.27
  5. Step 5: Solve for x
    x = 711,703,351,531.27/551,724.75
  6. Step 6: Final answer
    x = 1,289,960.89

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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.