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Finding the Third Proportional to 422,707.50 and 860,172.75

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Solution

The third proportional to 422,707.50 and 860,172.75 is: 1,750,376.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,707.50 : 860,172.75 = 860,172.75 : x
  2. Step 2: Convert to fraction form
    422,707.50/860,172.75 = 860,172.75/x
  3. Step 3: Cross multiply
    422,707.50x = 860,172.75 × 860,172.75
  4. Step 4: Simplify right side
    422,707.50x = 739,897,159,842.56
  5. Step 5: Solve for x
    x = 739,897,159,842.56/422,707.50
  6. Step 6: Final answer
    x = 1,750,376.23

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.