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Finding the Third Proportional to 374,842.50 and 816,239.88

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Solution

The third proportional to 374,842.50 and 816,239.88 is: 1,777,406.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,842.50 : 816,239.88 = 816,239.88 : x
  2. Step 2: Convert to fraction form
    374,842.50/816,239.88 = 816,239.88/x
  3. Step 3: Cross multiply
    374,842.50x = 816,239.88 × 816,239.88
  4. Step 4: Simplify right side
    374,842.50x = 666,247,533,540.02
  5. Step 5: Solve for x
    x = 666,247,533,540.02/374,842.50
  6. Step 6: Final answer
    x = 1,777,406.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.