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Finding the Third Proportional to 138,651 and 298,319

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Solution

The third proportional to 138,651 and 298,319 is: 641,857.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,651 : 298,319 = 298,319 : x
  2. Step 2: Convert to fraction form
    138,651/298,319 = 298,319/x
  3. Step 3: Cross multiply
    138,651x = 298,319 × 298,319
  4. Step 4: Simplify right side
    138,651x = 88,994,225,761
  5. Step 5: Solve for x
    x = 88,994,225,761/138,651
  6. Step 6: Final answer
    x = 641,857.80

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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.