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Finding the Third Proportional to 551,734.88 and 843,640.31

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Solution

The third proportional to 551,734.88 and 843,640.31 is: 1,289,983.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,734.88 : 843,640.31 = 843,640.31 : x
  2. Step 2: Convert to fraction form
    551,734.88/843,640.31 = 843,640.31/x
  3. Step 3: Cross multiply
    551,734.88x = 843,640.31 × 843,640.31
  4. Step 4: Simplify right side
    551,734.88x = 711,728,976,875.10
  5. Step 5: Solve for x
    x = 711,728,976,875.10/551,734.88
  6. Step 6: Final answer
    x = 1,289,983.67

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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.