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Finding the Third Proportional to 129,502 and 200,004

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Solution

The third proportional to 129,502 and 200,004 is: 308,887.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,502 : 200,004 = 200,004 : x
  2. Step 2: Convert to fraction form
    129,502/200,004 = 200,004/x
  3. Step 3: Cross multiply
    129,502x = 200,004 × 200,004
  4. Step 4: Simplify right side
    129,502x = 40,001,600,016
  5. Step 5: Solve for x
    x = 40,001,600,016/129,502
  6. Step 6: Final answer
    x = 308,887.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.