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Finding the Third Proportional to 445,408.50 and 605,140.50

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Solution

The third proportional to 445,408.50 and 605,140.50 is: 822,155.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,408.50 : 605,140.50 = 605,140.50 : x
  2. Step 2: Convert to fraction form
    445,408.50/605,140.50 = 605,140.50/x
  3. Step 3: Cross multiply
    445,408.50x = 605,140.50 × 605,140.50
  4. Step 4: Simplify right side
    445,408.50x = 366,195,024,740.25
  5. Step 5: Solve for x
    x = 366,195,024,740.25/445,408.50
  6. Step 6: Final answer
    x = 822,155.45

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.