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Finding the Third Proportional to 141,781.64 and 311,515.88

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Solution

The third proportional to 141,781.64 and 311,515.88 is: 684,447.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,781.64 : 311,515.88 = 311,515.88 : x
  2. Step 2: Convert to fraction form
    141,781.64/311,515.88 = 311,515.88/x
  3. Step 3: Cross multiply
    141,781.64x = 311,515.88 × 311,515.88
  4. Step 4: Simplify right side
    141,781.64x = 97,042,140,377.02
  5. Step 5: Solve for x
    x = 97,042,140,377.02/141,781.64
  6. Step 6: Final answer
    x = 684,447.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.