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Finding the Third Proportional to 204,708 and 310,242

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Solution

The third proportional to 204,708 and 310,242 is: 470,182.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,708 : 310,242 = 310,242 : x
  2. Step 2: Convert to fraction form
    204,708/310,242 = 310,242/x
  3. Step 3: Cross multiply
    204,708x = 310,242 × 310,242
  4. Step 4: Simplify right side
    204,708x = 96,250,098,564
  5. Step 5: Solve for x
    x = 96,250,098,564/204,708
  6. Step 6: Final answer
    x = 470,182.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.