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Finding the Third Proportional to 129,172.50 and 188,654.63

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Solution

The third proportional to 129,172.50 and 188,654.63 is: 275,527.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,172.50 : 188,654.63 = 188,654.63 : x
  2. Step 2: Convert to fraction form
    129,172.50/188,654.63 = 188,654.63/x
  3. Step 3: Cross multiply
    129,172.50x = 188,654.63 × 188,654.63
  4. Step 4: Simplify right side
    129,172.50x = 35,590,567,533.89
  5. Step 5: Solve for x
    x = 35,590,567,533.89/129,172.50
  6. Step 6: Final answer
    x = 275,527.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.