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Finding the Third Proportional to 343,986 and 531,315

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Solution

The third proportional to 343,986 and 531,315 is: 820,660.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,986 : 531,315 = 531,315 : x
  2. Step 2: Convert to fraction form
    343,986/531,315 = 531,315/x
  3. Step 3: Cross multiply
    343,986x = 531,315 × 531,315
  4. Step 4: Simplify right side
    343,986x = 282,295,629,225
  5. Step 5: Solve for x
    x = 282,295,629,225/343,986
  6. Step 6: Final answer
    x = 820,660.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.