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Finding the Third Proportional to 135,019 and 295,492

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Solution

The third proportional to 135,019 and 295,492 is: 646,690.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,019 : 295,492 = 295,492 : x
  2. Step 2: Convert to fraction form
    135,019/295,492 = 295,492/x
  3. Step 3: Cross multiply
    135,019x = 295,492 × 295,492
  4. Step 4: Simplify right side
    135,019x = 87,315,522,064
  5. Step 5: Solve for x
    x = 87,315,522,064/135,019
  6. Step 6: Final answer
    x = 646,690.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.