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Finding the Third Proportional to 299,620.69 and 421,441.31

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Solution

The third proportional to 299,620.69 and 421,441.31 is: 592,792.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,620.69 : 421,441.31 = 421,441.31 : x
  2. Step 2: Convert to fraction form
    299,620.69/421,441.31 = 421,441.31/x
  3. Step 3: Cross multiply
    299,620.69x = 421,441.31 × 421,441.31
  4. Step 4: Simplify right side
    299,620.69x = 177,612,779,881.72
  5. Step 5: Solve for x
    x = 177,612,779,881.72/299,620.69
  6. Step 6: Final answer
    x = 592,792.11

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.