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Finding the Third Proportional to 118,176 and 252,963.50

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Solution

The third proportional to 118,176 and 252,963.50 is: 541,485.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,176 : 252,963.50 = 252,963.50 : x
  2. Step 2: Convert to fraction form
    118,176/252,963.50 = 252,963.50/x
  3. Step 3: Cross multiply
    118,176x = 252,963.50 × 252,963.50
  4. Step 4: Simplify right side
    118,176x = 63,990,532,332.25
  5. Step 5: Solve for x
    x = 63,990,532,332.25/118,176
  6. Step 6: Final answer
    x = 541,485.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.