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Finding the Third Proportional to 136,971 and 298,857

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Solution

The third proportional to 136,971 and 298,857 is: 652,076.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,971 : 298,857 = 298,857 : x
  2. Step 2: Convert to fraction form
    136,971/298,857 = 298,857/x
  3. Step 3: Cross multiply
    136,971x = 298,857 × 298,857
  4. Step 4: Simplify right side
    136,971x = 89,315,506,449
  5. Step 5: Solve for x
    x = 89,315,506,449/136,971
  6. Step 6: Final answer
    x = 652,076.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.