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Finding the Third Proportional to 208,618.03 and 313,899.05

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Solution

The third proportional to 208,618.03 and 313,899.05 is: 472,311.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,618.03 : 313,899.05 = 313,899.05 : x
  2. Step 2: Convert to fraction form
    208,618.03/313,899.05 = 313,899.05/x
  3. Step 3: Cross multiply
    208,618.03x = 313,899.05 × 313,899.05
  4. Step 4: Simplify right side
    208,618.03x = 98,532,611,629.03
  5. Step 5: Solve for x
    x = 98,532,611,629.03/208,618.03
  6. Step 6: Final answer
    x = 472,311.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.