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Finding the Third Proportional to 69,319.88 and 141,917.63

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Solution

The third proportional to 69,319.88 and 141,917.63 is: 290,546.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,319.88 : 141,917.63 = 141,917.63 : x
  2. Step 2: Convert to fraction form
    69,319.88/141,917.63 = 141,917.63/x
  3. Step 3: Cross multiply
    69,319.88x = 141,917.63 × 141,917.63
  4. Step 4: Simplify right side
    69,319.88x = 20,140,612,285.64
  5. Step 5: Solve for x
    x = 20,140,612,285.64/69,319.88
  6. Step 6: Final answer
    x = 290,546.00

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.