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Finding the Third Proportional to 78,833 and 171,062

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Solution

The third proportional to 78,833 and 171,062 is: 371,192.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,833 : 171,062 = 171,062 : x
  2. Step 2: Convert to fraction form
    78,833/171,062 = 171,062/x
  3. Step 3: Cross multiply
    78,833x = 171,062 × 171,062
  4. Step 4: Simplify right side
    78,833x = 29,262,207,844
  5. Step 5: Solve for x
    x = 29,262,207,844/78,833
  6. Step 6: Final answer
    x = 371,192.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.