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Finding the Third Proportional to 343,960 and 521,133

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Solution

The third proportional to 343,960 and 521,133 is: 789,567.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,960 : 521,133 = 521,133 : x
  2. Step 2: Convert to fraction form
    343,960/521,133 = 521,133/x
  3. Step 3: Cross multiply
    343,960x = 521,133 × 521,133
  4. Step 4: Simplify right side
    343,960x = 271,579,603,689
  5. Step 5: Solve for x
    x = 271,579,603,689/343,960
  6. Step 6: Final answer
    x = 789,567.40

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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.