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Finding the Third Proportional to 428,520 and 612,180

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Solution

The third proportional to 428,520 and 612,180 is: 874,555.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,520 : 612,180 = 612,180 : x
  2. Step 2: Convert to fraction form
    428,520/612,180 = 612,180/x
  3. Step 3: Cross multiply
    428,520x = 612,180 × 612,180
  4. Step 4: Simplify right side
    428,520x = 374,764,352,400
  5. Step 5: Solve for x
    x = 374,764,352,400/428,520
  6. Step 6: Final answer
    x = 874,555.10

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.