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Finding the Third Proportional to 508,581 and 622,305

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Solution

The third proportional to 508,581 and 622,305 is: 761,458.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,581 : 622,305 = 622,305 : x
  2. Step 2: Convert to fraction form
    508,581/622,305 = 622,305/x
  3. Step 3: Cross multiply
    508,581x = 622,305 × 622,305
  4. Step 4: Simplify right side
    508,581x = 387,263,513,025
  5. Step 5: Solve for x
    x = 387,263,513,025/508,581
  6. Step 6: Final answer
    x = 761,458.87

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.