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Finding the Third Proportional to 398,007 and 616,302

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Solution

The third proportional to 398,007 and 616,302 is: 954,325.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,007 : 616,302 = 616,302 : x
  2. Step 2: Convert to fraction form
    398,007/616,302 = 616,302/x
  3. Step 3: Cross multiply
    398,007x = 616,302 × 616,302
  4. Step 4: Simplify right side
    398,007x = 379,828,155,204
  5. Step 5: Solve for x
    x = 379,828,155,204/398,007
  6. Step 6: Final answer
    x = 954,325.31

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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.