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Finding the Third Proportional to 208,608.50 and 428,275.50

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Solution

The third proportional to 208,608.50 and 428,275.50 is: 879,254.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,608.50 : 428,275.50 = 428,275.50 : x
  2. Step 2: Convert to fraction form
    208,608.50/428,275.50 = 428,275.50/x
  3. Step 3: Cross multiply
    208,608.50x = 428,275.50 × 428,275.50
  4. Step 4: Simplify right side
    208,608.50x = 183,419,903,900.25
  5. Step 5: Solve for x
    x = 183,419,903,900.25/208,608.50
  6. Step 6: Final answer
    x = 879,254.22

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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.