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Finding the Third Proportional to 254,200 and 502,021

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Solution

The third proportional to 254,200 and 502,021 is: 991,444.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,200 : 502,021 = 502,021 : x
  2. Step 2: Convert to fraction form
    254,200/502,021 = 502,021/x
  3. Step 3: Cross multiply
    254,200x = 502,021 × 502,021
  4. Step 4: Simplify right side
    254,200x = 252,025,084,441
  5. Step 5: Solve for x
    x = 252,025,084,441/254,200
  6. Step 6: Final answer
    x = 991,444.08

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.