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Finding the Third Proportional to 129,112.25 and 278,618.50

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Solution

The third proportional to 129,112.25 and 278,618.50 is: 601,246.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,112.25 : 278,618.50 = 278,618.50 : x
  2. Step 2: Convert to fraction form
    129,112.25/278,618.50 = 278,618.50/x
  3. Step 3: Cross multiply
    129,112.25x = 278,618.50 × 278,618.50
  4. Step 4: Simplify right side
    129,112.25x = 77,628,268,542.25
  5. Step 5: Solve for x
    x = 77,628,268,542.25/129,112.25
  6. Step 6: Final answer
    x = 601,246.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.