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Finding the Third Proportional to 421,213.50 and 872,235

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Solution

The third proportional to 421,213.50 and 872,235 is: 1,806,195.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,213.50 : 872,235 = 872,235 : x
  2. Step 2: Convert to fraction form
    421,213.50/872,235 = 872,235/x
  3. Step 3: Cross multiply
    421,213.50x = 872,235 × 872,235
  4. Step 4: Simplify right side
    421,213.50x = 760,793,895,225
  5. Step 5: Solve for x
    x = 760,793,895,225/421,213.50
  6. Step 6: Final answer
    x = 1,806,195.42

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.