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Finding the Third Proportional to 375,118.25 and 819,120.25

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Solution

The third proportional to 375,118.25 and 819,120.25 is: 1,788,657.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,118.25 : 819,120.25 = 819,120.25 : x
  2. Step 2: Convert to fraction form
    375,118.25/819,120.25 = 819,120.25/x
  3. Step 3: Cross multiply
    375,118.25x = 819,120.25 × 819,120.25
  4. Step 4: Simplify right side
    375,118.25x = 670,957,983,960.06
  5. Step 5: Solve for x
    x = 670,957,983,960.06/375,118.25
  6. Step 6: Final answer
    x = 1,788,657.27

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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.