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Finding the Third Proportional to 309,096 and 677,304

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Solution

The third proportional to 309,096 and 677,304 is: 1,484,136.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,096 : 677,304 = 677,304 : x
  2. Step 2: Convert to fraction form
    309,096/677,304 = 677,304/x
  3. Step 3: Cross multiply
    309,096x = 677,304 × 677,304
  4. Step 4: Simplify right side
    309,096x = 458,740,708,416
  5. Step 5: Solve for x
    x = 458,740,708,416/309,096
  6. Step 6: Final answer
    x = 1,484,136.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.