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Finding the Third Proportional to 217,745 and 320,210

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Solution

The third proportional to 217,745 and 320,210 is: 470,892.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,745 : 320,210 = 320,210 : x
  2. Step 2: Convert to fraction form
    217,745/320,210 = 320,210/x
  3. Step 3: Cross multiply
    217,745x = 320,210 × 320,210
  4. Step 4: Simplify right side
    217,745x = 102,534,444,100
  5. Step 5: Solve for x
    x = 102,534,444,100/217,745
  6. Step 6: Final answer
    x = 470,892.30

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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.