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Finding the Third Proportional to 129,966.50 and 190,443.75

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Solution

The third proportional to 129,966.50 and 190,443.75 is: 279,062.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,966.50 : 190,443.75 = 190,443.75 : x
  2. Step 2: Convert to fraction form
    129,966.50/190,443.75 = 190,443.75/x
  3. Step 3: Cross multiply
    129,966.50x = 190,443.75 × 190,443.75
  4. Step 4: Simplify right side
    129,966.50x = 36,268,821,914.06
  5. Step 5: Solve for x
    x = 36,268,821,914.06/129,966.50
  6. Step 6: Final answer
    x = 279,062.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.