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Finding the Third Proportional to 94,275 and 136,336.50

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Solution

The third proportional to 94,275 and 136,336.50 is: 197,164.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,275 : 136,336.50 = 136,336.50 : x
  2. Step 2: Convert to fraction form
    94,275/136,336.50 = 136,336.50/x
  3. Step 3: Cross multiply
    94,275x = 136,336.50 × 136,336.50
  4. Step 4: Simplify right side
    94,275x = 18,587,641,232.25
  5. Step 5: Solve for x
    x = 18,587,641,232.25/94,275
  6. Step 6: Final answer
    x = 197,164.05

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.