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Finding the Third Proportional to 102,129.75 and 223,638.75

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Solution

The third proportional to 102,129.75 and 223,638.75 is: 489,713.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,129.75 : 223,638.75 = 223,638.75 : x
  2. Step 2: Convert to fraction form
    102,129.75/223,638.75 = 223,638.75/x
  3. Step 3: Cross multiply
    102,129.75x = 223,638.75 × 223,638.75
  4. Step 4: Simplify right side
    102,129.75x = 50,014,290,501.56
  5. Step 5: Solve for x
    x = 50,014,290,501.56/102,129.75
  6. Step 6: Final answer
    x = 489,713.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.