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Finding the Third Proportional to 398,180 and 616,602

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Solution

The third proportional to 398,180 and 616,602 is: 954,839.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,180 : 616,602 = 616,602 : x
  2. Step 2: Convert to fraction form
    398,180/616,602 = 616,602/x
  3. Step 3: Cross multiply
    398,180x = 616,602 × 616,602
  4. Step 4: Simplify right side
    398,180x = 380,198,026,404
  5. Step 5: Solve for x
    x = 380,198,026,404/398,180
  6. Step 6: Final answer
    x = 954,839.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.