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Finding the Third Proportional to 172,602 and 369,190

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Solution

The third proportional to 172,602 and 369,190 is: 789,685.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,602 : 369,190 = 369,190 : x
  2. Step 2: Convert to fraction form
    172,602/369,190 = 369,190/x
  3. Step 3: Cross multiply
    172,602x = 369,190 × 369,190
  4. Step 4: Simplify right side
    172,602x = 136,301,256,100
  5. Step 5: Solve for x
    x = 136,301,256,100/172,602
  6. Step 6: Final answer
    x = 789,685.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.