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Finding the Third Proportional to 306,723 and 470,799

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Solution

The third proportional to 306,723 and 470,799 is: 722,644.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,723 : 470,799 = 470,799 : x
  2. Step 2: Convert to fraction form
    306,723/470,799 = 470,799/x
  3. Step 3: Cross multiply
    306,723x = 470,799 × 470,799
  4. Step 4: Simplify right side
    306,723x = 221,651,698,401
  5. Step 5: Solve for x
    x = 221,651,698,401/306,723
  6. Step 6: Final answer
    x = 722,644.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.