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Finding the Third Proportional to 689,396 and 992,932

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Solution

The third proportional to 689,396 and 992,932 is: 1,430,112.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,396 : 992,932 = 992,932 : x
  2. Step 2: Convert to fraction form
    689,396/992,932 = 992,932/x
  3. Step 3: Cross multiply
    689,396x = 992,932 × 992,932
  4. Step 4: Simplify right side
    689,396x = 985,913,956,624
  5. Step 5: Solve for x
    x = 985,913,956,624/689,396
  6. Step 6: Final answer
    x = 1,430,112.67

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.