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Finding the Third Proportional to 207,878.06 and 289,626.47

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Solution

The third proportional to 207,878.06 and 289,626.47 is: 403,522.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,878.06 : 289,626.47 = 289,626.47 : x
  2. Step 2: Convert to fraction form
    207,878.06/289,626.47 = 289,626.47/x
  3. Step 3: Cross multiply
    207,878.06x = 289,626.47 × 289,626.47
  4. Step 4: Simplify right side
    207,878.06x = 83,883,491,400.59
  5. Step 5: Solve for x
    x = 83,883,491,400.59/207,878.06
  6. Step 6: Final answer
    x = 403,522.58

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.