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Finding the Third Proportional to 399,417 and 616,824

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Solution

The third proportional to 399,417 and 616,824 is: 952,567.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,417 : 616,824 = 616,824 : x
  2. Step 2: Convert to fraction form
    399,417/616,824 = 616,824/x
  3. Step 3: Cross multiply
    399,417x = 616,824 × 616,824
  4. Step 4: Simplify right side
    399,417x = 380,471,846,976
  5. Step 5: Solve for x
    x = 380,471,846,976/399,417
  6. Step 6: Final answer
    x = 952,567.99

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.