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Finding the Third Proportional to 127,129.50 and 273,415.50

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Solution

The third proportional to 127,129.50 and 273,415.50 is: 588,030.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,129.50 : 273,415.50 = 273,415.50 : x
  2. Step 2: Convert to fraction form
    127,129.50/273,415.50 = 273,415.50/x
  3. Step 3: Cross multiply
    127,129.50x = 273,415.50 × 273,415.50
  4. Step 4: Simplify right side
    127,129.50x = 74,756,035,640.25
  5. Step 5: Solve for x
    x = 74,756,035,640.25/127,129.50
  6. Step 6: Final answer
    x = 588,030.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.