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Finding the Third Proportional to 399,098.25 and 857,245.50

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Solution

The third proportional to 399,098.25 and 857,245.50 is: 1,841,325.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,098.25 : 857,245.50 = 857,245.50 : x
  2. Step 2: Convert to fraction form
    399,098.25/857,245.50 = 857,245.50/x
  3. Step 3: Cross multiply
    399,098.25x = 857,245.50 × 857,245.50
  4. Step 4: Simplify right side
    399,098.25x = 734,869,847,270.25
  5. Step 5: Solve for x
    x = 734,869,847,270.25/399,098.25
  6. Step 6: Final answer
    x = 1,841,325.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.