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Finding the Third Proportional to 209,558.25 and 428,800.50

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Solution

The third proportional to 209,558.25 and 428,800.50 is: 877,416.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,558.25 : 428,800.50 = 428,800.50 : x
  2. Step 2: Convert to fraction form
    209,558.25/428,800.50 = 428,800.50/x
  3. Step 3: Cross multiply
    209,558.25x = 428,800.50 × 428,800.50
  4. Step 4: Simplify right side
    209,558.25x = 183,869,868,800.25
  5. Step 5: Solve for x
    x = 183,869,868,800.25/209,558.25
  6. Step 6: Final answer
    x = 877,416.51

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.