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Finding the Third Proportional to 306,678 and 478,665

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Solution

The third proportional to 306,678 and 478,665 is: 747,103.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,678 : 478,665 = 478,665 : x
  2. Step 2: Convert to fraction form
    306,678/478,665 = 478,665/x
  3. Step 3: Cross multiply
    306,678x = 478,665 × 478,665
  4. Step 4: Simplify right side
    306,678x = 229,120,182,225
  5. Step 5: Solve for x
    x = 229,120,182,225/306,678
  6. Step 6: Final answer
    x = 747,103.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.