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Finding the Third Proportional to 222,128 and 500,008

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Solution

The third proportional to 222,128 and 500,008 is: 1,125,513.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,128 : 500,008 = 500,008 : x
  2. Step 2: Convert to fraction form
    222,128/500,008 = 500,008/x
  3. Step 3: Cross multiply
    222,128x = 500,008 × 500,008
  4. Step 4: Simplify right side
    222,128x = 250,008,000,064
  5. Step 5: Solve for x
    x = 250,008,000,064/222,128
  6. Step 6: Final answer
    x = 1,125,513.22

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.