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Finding the Third Proportional to 254,556 and 502,686

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Solution

The third proportional to 254,556 and 502,686 is: 992,682.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,556 : 502,686 = 502,686 : x
  2. Step 2: Convert to fraction form
    254,556/502,686 = 502,686/x
  3. Step 3: Cross multiply
    254,556x = 502,686 × 502,686
  4. Step 4: Simplify right side
    254,556x = 252,693,214,596
  5. Step 5: Solve for x
    x = 252,693,214,596/254,556
  6. Step 6: Final answer
    x = 992,682.22

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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.