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Finding the Third Proportional to 138,154 and 297,318

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Solution

The third proportional to 138,154 and 297,318 is: 639,851.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,154 : 297,318 = 297,318 : x
  2. Step 2: Convert to fraction form
    138,154/297,318 = 297,318/x
  3. Step 3: Cross multiply
    138,154x = 297,318 × 297,318
  4. Step 4: Simplify right side
    138,154x = 88,397,993,124
  5. Step 5: Solve for x
    x = 88,397,993,124/138,154
  6. Step 6: Final answer
    x = 639,851.13

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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.