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Finding the Third Proportional to 428,492 and 818,104

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Solution

The third proportional to 428,492 and 818,104 is: 1,561,975.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,492 : 818,104 = 818,104 : x
  2. Step 2: Convert to fraction form
    428,492/818,104 = 818,104/x
  3. Step 3: Cross multiply
    428,492x = 818,104 × 818,104
  4. Step 4: Simplify right side
    428,492x = 669,294,154,816
  5. Step 5: Solve for x
    x = 669,294,154,816/428,492
  6. Step 6: Final answer
    x = 1,561,975.85

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.