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Finding the Third Proportional to 129,072.50 and 189,809.50

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Solution

The third proportional to 129,072.50 and 189,809.50 is: 279,127.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,072.50 : 189,809.50 = 189,809.50 : x
  2. Step 2: Convert to fraction form
    129,072.50/189,809.50 = 189,809.50/x
  3. Step 3: Cross multiply
    129,072.50x = 189,809.50 × 189,809.50
  4. Step 4: Simplify right side
    129,072.50x = 36,027,646,290.25
  5. Step 5: Solve for x
    x = 36,027,646,290.25/129,072.50
  6. Step 6: Final answer
    x = 279,127.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.