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Finding the Third Proportional to 118,139.25 and 255,961.50

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Solution

The third proportional to 118,139.25 and 255,961.50 is: 554,568.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,139.25 : 255,961.50 = 255,961.50 : x
  2. Step 2: Convert to fraction form
    118,139.25/255,961.50 = 255,961.50/x
  3. Step 3: Cross multiply
    118,139.25x = 255,961.50 × 255,961.50
  4. Step 4: Simplify right side
    118,139.25x = 65,516,289,482.25
  5. Step 5: Solve for x
    x = 65,516,289,482.25/118,139.25
  6. Step 6: Final answer
    x = 554,568.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.