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Finding the Third Proportional to 207,454 and 283,914.50

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Solution

The third proportional to 207,454 and 283,914.50 is: 388,555.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,454 : 283,914.50 = 283,914.50 : x
  2. Step 2: Convert to fraction form
    207,454/283,914.50 = 283,914.50/x
  3. Step 3: Cross multiply
    207,454x = 283,914.50 × 283,914.50
  4. Step 4: Simplify right side
    207,454x = 80,607,443,310.25
  5. Step 5: Solve for x
    x = 80,607,443,310.25/207,454
  6. Step 6: Final answer
    x = 388,555.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.