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Finding the Third Proportional to 277,816.50 and 428,269

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Solution

The third proportional to 277,816.50 and 428,269 is: 660,199.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,816.50 : 428,269 = 428,269 : x
  2. Step 2: Convert to fraction form
    277,816.50/428,269 = 428,269/x
  3. Step 3: Cross multiply
    277,816.50x = 428,269 × 428,269
  4. Step 4: Simplify right side
    277,816.50x = 183,414,336,361
  5. Step 5: Solve for x
    x = 183,414,336,361/277,816.50
  6. Step 6: Final answer
    x = 660,199.58

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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.