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Finding the Third Proportional to 345,000 and 523,336

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Solution

The third proportional to 345,000 and 523,336 is: 793,856.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,000 : 523,336 = 523,336 : x
  2. Step 2: Convert to fraction form
    345,000/523,336 = 523,336/x
  3. Step 3: Cross multiply
    345,000x = 523,336 × 523,336
  4. Step 4: Simplify right side
    345,000x = 273,880,568,896
  5. Step 5: Solve for x
    x = 273,880,568,896/345,000
  6. Step 6: Final answer
    x = 793,856.72

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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.