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Finding the Third Proportional to 343,970 and 521,148

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Solution

The third proportional to 343,970 and 521,148 is: 789,589.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,970 : 521,148 = 521,148 : x
  2. Step 2: Convert to fraction form
    343,970/521,148 = 521,148/x
  3. Step 3: Cross multiply
    343,970x = 521,148 × 521,148
  4. Step 4: Simplify right side
    343,970x = 271,595,237,904
  5. Step 5: Solve for x
    x = 271,595,237,904/343,970
  6. Step 6: Final answer
    x = 789,589.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.