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Finding the Third Proportional to 75,490 and 154,256

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Solution

The third proportional to 75,490 and 154,256 is: 315,206.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,490 : 154,256 = 154,256 : x
  2. Step 2: Convert to fraction form
    75,490/154,256 = 154,256/x
  3. Step 3: Cross multiply
    75,490x = 154,256 × 154,256
  4. Step 4: Simplify right side
    75,490x = 23,794,913,536
  5. Step 5: Solve for x
    x = 23,794,913,536/75,490
  6. Step 6: Final answer
    x = 315,206.17

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.