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Finding the Third Proportional to 277,800.26 and 428,241.94

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Solution

The third proportional to 277,800.26 and 428,241.94 is: 660,154.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,800.26 : 428,241.94 = 428,241.94 : x
  2. Step 2: Convert to fraction form
    277,800.26/428,241.94 = 428,241.94/x
  3. Step 3: Cross multiply
    277,800.26x = 428,241.94 × 428,241.94
  4. Step 4: Simplify right side
    277,800.26x = 183,391,157,033.75
  5. Step 5: Solve for x
    x = 183,391,157,033.75/277,800.26
  6. Step 6: Final answer
    x = 660,154.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.