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Finding the Third Proportional to 153,874 and 347,261

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Solution

The third proportional to 153,874 and 347,261 is: 783,694.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,874 : 347,261 = 347,261 : x
  2. Step 2: Convert to fraction form
    153,874/347,261 = 347,261/x
  3. Step 3: Cross multiply
    153,874x = 347,261 × 347,261
  4. Step 4: Simplify right side
    153,874x = 120,590,202,121
  5. Step 5: Solve for x
    x = 120,590,202,121/153,874
  6. Step 6: Final answer
    x = 783,694.47

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.