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Finding the Third Proportional to 311,690.25 and 681,700.50

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Solution

The third proportional to 311,690.25 and 681,700.50 is: 1,490,953.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,690.25 : 681,700.50 = 681,700.50 : x
  2. Step 2: Convert to fraction form
    311,690.25/681,700.50 = 681,700.50/x
  3. Step 3: Cross multiply
    311,690.25x = 681,700.50 × 681,700.50
  4. Step 4: Simplify right side
    311,690.25x = 464,715,571,700.25
  5. Step 5: Solve for x
    x = 464,715,571,700.25/311,690.25
  6. Step 6: Final answer
    x = 1,490,953.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.