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Finding the Third Proportional to 381,582.75 and 838,069.50

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Solution

The third proportional to 381,582.75 and 838,069.50 is: 1,840,650.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,582.75 : 838,069.50 = 838,069.50 : x
  2. Step 2: Convert to fraction form
    381,582.75/838,069.50 = 838,069.50/x
  3. Step 3: Cross multiply
    381,582.75x = 838,069.50 × 838,069.50
  4. Step 4: Simplify right side
    381,582.75x = 702,360,486,830.25
  5. Step 5: Solve for x
    x = 702,360,486,830.25/381,582.75
  6. Step 6: Final answer
    x = 1,840,650.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.