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Finding the Third Proportional to 388,418 and 586,193

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Solution

The third proportional to 388,418 and 586,193 is: 884,671.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,418 : 586,193 = 586,193 : x
  2. Step 2: Convert to fraction form
    388,418/586,193 = 586,193/x
  3. Step 3: Cross multiply
    388,418x = 586,193 × 586,193
  4. Step 4: Simplify right side
    388,418x = 343,622,233,249
  5. Step 5: Solve for x
    x = 343,622,233,249/388,418
  6. Step 6: Final answer
    x = 884,671.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.