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Finding the Third Proportional to 213,999.75 and 506,085.75

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Solution

The third proportional to 213,999.75 and 506,085.75 is: 1,196,836.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,999.75 : 506,085.75 = 506,085.75 : x
  2. Step 2: Convert to fraction form
    213,999.75/506,085.75 = 506,085.75/x
  3. Step 3: Cross multiply
    213,999.75x = 506,085.75 × 506,085.75
  4. Step 4: Simplify right side
    213,999.75x = 256,122,786,353.06
  5. Step 5: Solve for x
    x = 256,122,786,353.06/213,999.75
  6. Step 6: Final answer
    x = 1,196,836.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.