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Finding the Third Proportional to 434,521 and 682,509

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Solution

The third proportional to 434,521 and 682,509 is: 1,072,027.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,521 : 682,509 = 682,509 : x
  2. Step 2: Convert to fraction form
    434,521/682,509 = 682,509/x
  3. Step 3: Cross multiply
    434,521x = 682,509 × 682,509
  4. Step 4: Simplify right side
    434,521x = 465,818,535,081
  5. Step 5: Solve for x
    x = 465,818,535,081/434,521
  6. Step 6: Final answer
    x = 1,072,027.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.