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Finding the Third Proportional to 129,257.50 and 273,418.50

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Solution

The third proportional to 129,257.50 and 273,418.50 is: 578,362.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,257.50 : 273,418.50 = 273,418.50 : x
  2. Step 2: Convert to fraction form
    129,257.50/273,418.50 = 273,418.50/x
  3. Step 3: Cross multiply
    129,257.50x = 273,418.50 × 273,418.50
  4. Step 4: Simplify right side
    129,257.50x = 74,757,676,142.25
  5. Step 5: Solve for x
    x = 74,757,676,142.25/129,257.50
  6. Step 6: Final answer
    x = 578,362.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.