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Finding the Third Proportional to 428,324 and 627,126

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Solution

The third proportional to 428,324 and 627,126 is: 918,199.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,324 : 627,126 = 627,126 : x
  2. Step 2: Convert to fraction form
    428,324/627,126 = 627,126/x
  3. Step 3: Cross multiply
    428,324x = 627,126 × 627,126
  4. Step 4: Simplify right side
    428,324x = 393,287,019,876
  5. Step 5: Solve for x
    x = 393,287,019,876/428,324
  6. Step 6: Final answer
    x = 918,199.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.