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Finding the Third Proportional to 218,389.50 and 339,248.25

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Solution

The third proportional to 218,389.50 and 339,248.25 is: 526,991.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,389.50 : 339,248.25 = 339,248.25 : x
  2. Step 2: Convert to fraction form
    218,389.50/339,248.25 = 339,248.25/x
  3. Step 3: Cross multiply
    218,389.50x = 339,248.25 × 339,248.25
  4. Step 4: Simplify right side
    218,389.50x = 115,089,375,128.06
  5. Step 5: Solve for x
    x = 115,089,375,128.06/218,389.50
  6. Step 6: Final answer
    x = 526,991.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.