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Finding the Third Proportional to 273,457.50 and 419,762.25

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Solution

The third proportional to 273,457.50 and 419,762.25 is: 644,342.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,457.50 : 419,762.25 = 419,762.25 : x
  2. Step 2: Convert to fraction form
    273,457.50/419,762.25 = 419,762.25/x
  3. Step 3: Cross multiply
    273,457.50x = 419,762.25 × 419,762.25
  4. Step 4: Simplify right side
    273,457.50x = 176,200,346,525.06
  5. Step 5: Solve for x
    x = 176,200,346,525.06/273,457.50
  6. Step 6: Final answer
    x = 644,342.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.