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Finding the Third Proportional to 343,183.50 and 521,770.50

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Solution

The third proportional to 343,183.50 and 521,770.50 is: 793,291.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,183.50 : 521,770.50 = 521,770.50 : x
  2. Step 2: Convert to fraction form
    343,183.50/521,770.50 = 521,770.50/x
  3. Step 3: Cross multiply
    343,183.50x = 521,770.50 × 521,770.50
  4. Step 4: Simplify right side
    343,183.50x = 272,244,454,670.25
  5. Step 5: Solve for x
    x = 272,244,454,670.25/343,183.50
  6. Step 6: Final answer
    x = 793,291.21

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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.