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Finding the Third Proportional to 428,342 and 601,689

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Solution

The third proportional to 428,342 and 601,689 is: 845,188.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,342 : 601,689 = 601,689 : x
  2. Step 2: Convert to fraction form
    428,342/601,689 = 601,689/x
  3. Step 3: Cross multiply
    428,342x = 601,689 × 601,689
  4. Step 4: Simplify right side
    428,342x = 362,029,652,721
  5. Step 5: Solve for x
    x = 362,029,652,721/428,342
  6. Step 6: Final answer
    x = 845,188.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.