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Finding the Third Proportional to 411,425.25 and 545,917.50

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Solution

The third proportional to 411,425.25 and 545,917.50 is: 724,374.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,425.25 : 545,917.50 = 545,917.50 : x
  2. Step 2: Convert to fraction form
    411,425.25/545,917.50 = 545,917.50/x
  3. Step 3: Cross multiply
    411,425.25x = 545,917.50 × 545,917.50
  4. Step 4: Simplify right side
    411,425.25x = 298,025,916,806.25
  5. Step 5: Solve for x
    x = 298,025,916,806.25/411,425.25
  6. Step 6: Final answer
    x = 724,374.40

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.