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Finding the Third Proportional to 545,158 and 845,193

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Solution

The third proportional to 545,158 and 845,193 is: 1,310,356.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,158 : 845,193 = 845,193 : x
  2. Step 2: Convert to fraction form
    545,158/845,193 = 845,193/x
  3. Step 3: Cross multiply
    545,158x = 845,193 × 845,193
  4. Step 4: Simplify right side
    545,158x = 714,351,207,249
  5. Step 5: Solve for x
    x = 714,351,207,249/545,158
  6. Step 6: Final answer
    x = 1,310,356.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.