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Finding the Third Proportional to 665,279.50 and 1,042,425

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Solution

The third proportional to 665,279.50 and 1,042,425 is: 1,633,373.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,279.50 : 1,042,425 = 1,042,425 : x
  2. Step 2: Convert to fraction form
    665,279.50/1,042,425 = 1,042,425/x
  3. Step 3: Cross multiply
    665,279.50x = 1,042,425 × 1,042,425
  4. Step 4: Simplify right side
    665,279.50x = 1,086,649,880,625
  5. Step 5: Solve for x
    x = 1,086,649,880,625/665,279.50
  6. Step 6: Final answer
    x = 1,633,373.46

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.