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Finding the Third Proportional to 217,723 and 320,178

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Solution

The third proportional to 217,723 and 320,178 is: 470,845.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,723 : 320,178 = 320,178 : x
  2. Step 2: Convert to fraction form
    217,723/320,178 = 320,178/x
  3. Step 3: Cross multiply
    217,723x = 320,178 × 320,178
  4. Step 4: Simplify right side
    217,723x = 102,513,951,684
  5. Step 5: Solve for x
    x = 102,513,951,684/217,723
  6. Step 6: Final answer
    x = 470,845.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.