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Finding the Third Proportional to 172,838 and 359,471

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Solution

The third proportional to 172,838 and 359,471 is: 747,633.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,838 : 359,471 = 359,471 : x
  2. Step 2: Convert to fraction form
    172,838/359,471 = 359,471/x
  3. Step 3: Cross multiply
    172,838x = 359,471 × 359,471
  4. Step 4: Simplify right side
    172,838x = 129,219,399,841
  5. Step 5: Solve for x
    x = 129,219,399,841/172,838
  6. Step 6: Final answer
    x = 747,633.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.