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Finding the Third Proportional to 447,367.50 and 677,566.97

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Solution

The third proportional to 447,367.50 and 677,566.97 is: 1,026,218.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,367.50 : 677,566.97 = 677,566.97 : x
  2. Step 2: Convert to fraction form
    447,367.50/677,566.97 = 677,566.97/x
  3. Step 3: Cross multiply
    447,367.50x = 677,566.97 × 677,566.97
  4. Step 4: Simplify right side
    447,367.50x = 459,096,997,141.06
  5. Step 5: Solve for x
    x = 459,096,997,141.06/447,367.50
  6. Step 6: Final answer
    x = 1,026,218.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.