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Finding the Third Proportional to 138,556 and 298,304

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Solution

The third proportional to 138,556 and 298,304 is: 642,233.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,556 : 298,304 = 298,304 : x
  2. Step 2: Convert to fraction form
    138,556/298,304 = 298,304/x
  3. Step 3: Cross multiply
    138,556x = 298,304 × 298,304
  4. Step 4: Simplify right side
    138,556x = 88,985,276,416
  5. Step 5: Solve for x
    x = 88,985,276,416/138,556
  6. Step 6: Final answer
    x = 642,233.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.