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Finding the Third Proportional to 172,638 and 357,261

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Solution

The third proportional to 172,638 and 357,261 is: 739,324.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,638 : 357,261 = 357,261 : x
  2. Step 2: Convert to fraction form
    172,638/357,261 = 357,261/x
  3. Step 3: Cross multiply
    172,638x = 357,261 × 357,261
  4. Step 4: Simplify right side
    172,638x = 127,635,422,121
  5. Step 5: Solve for x
    x = 127,635,422,121/172,638
  6. Step 6: Final answer
    x = 739,324.03

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.