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Finding the Third Proportional to 303,984 and 470,739

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Solution

The third proportional to 303,984 and 470,739 is: 728,969.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,984 : 470,739 = 470,739 : x
  2. Step 2: Convert to fraction form
    303,984/470,739 = 470,739/x
  3. Step 3: Cross multiply
    303,984x = 470,739 × 470,739
  4. Step 4: Simplify right side
    303,984x = 221,595,206,121
  5. Step 5: Solve for x
    x = 221,595,206,121/303,984
  6. Step 6: Final answer
    x = 728,969.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.