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Finding the Third Proportional to 374,156.25 and 820,750.50

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Solution

The third proportional to 374,156.25 and 820,750.50 is: 1,800,401.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,156.25 : 820,750.50 = 820,750.50 : x
  2. Step 2: Convert to fraction form
    374,156.25/820,750.50 = 820,750.50/x
  3. Step 3: Cross multiply
    374,156.25x = 820,750.50 × 820,750.50
  4. Step 4: Simplify right side
    374,156.25x = 673,631,383,250.25
  5. Step 5: Solve for x
    x = 673,631,383,250.25/374,156.25
  6. Step 6: Final answer
    x = 1,800,401.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.