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Finding the Third Proportional to 128,278.50 and 273,166.50

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Solution

The third proportional to 128,278.50 and 273,166.50 is: 581,702.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,278.50 : 273,166.50 = 273,166.50 : x
  2. Step 2: Convert to fraction form
    128,278.50/273,166.50 = 273,166.50/x
  3. Step 3: Cross multiply
    128,278.50x = 273,166.50 × 273,166.50
  4. Step 4: Simplify right side
    128,278.50x = 74,619,936,722.25
  5. Step 5: Solve for x
    x = 74,619,936,722.25/128,278.50
  6. Step 6: Final answer
    x = 581,702.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.