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Finding the Third Proportional to 343,125 and 520,519.50

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Solution

The third proportional to 343,125 and 520,519.50 is: 789,626.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,125 : 520,519.50 = 520,519.50 : x
  2. Step 2: Convert to fraction form
    343,125/520,519.50 = 520,519.50/x
  3. Step 3: Cross multiply
    343,125x = 520,519.50 × 520,519.50
  4. Step 4: Simplify right side
    343,125x = 270,940,549,880.25
  5. Step 5: Solve for x
    x = 270,940,549,880.25/343,125
  6. Step 6: Final answer
    x = 789,626.37

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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.