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Finding the Third Proportional to 321,672 and 679,632

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Solution

The third proportional to 321,672 and 679,632 is: 1,435,933.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,672 : 679,632 = 679,632 : x
  2. Step 2: Convert to fraction form
    321,672/679,632 = 679,632/x
  3. Step 3: Cross multiply
    321,672x = 679,632 × 679,632
  4. Step 4: Simplify right side
    321,672x = 461,899,655,424
  5. Step 5: Solve for x
    x = 461,899,655,424/321,672
  6. Step 6: Final answer
    x = 1,435,933.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.