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Finding the Third Proportional to 428,400 and 642,276

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Solution

The third proportional to 428,400 and 642,276 is: 962,928.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,400 : 642,276 = 642,276 : x
  2. Step 2: Convert to fraction form
    428,400/642,276 = 642,276/x
  3. Step 3: Cross multiply
    428,400x = 642,276 × 642,276
  4. Step 4: Simplify right side
    428,400x = 412,518,460,176
  5. Step 5: Solve for x
    x = 412,518,460,176/428,400
  6. Step 6: Final answer
    x = 962,928.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.