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Finding the Third Proportional to 475,992 and 646,128

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Solution

The third proportional to 475,992 and 646,128 is: 877,076.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,992 : 646,128 = 646,128 : x
  2. Step 2: Convert to fraction form
    475,992/646,128 = 646,128/x
  3. Step 3: Cross multiply
    475,992x = 646,128 × 646,128
  4. Step 4: Simplify right side
    475,992x = 417,481,392,384
  5. Step 5: Solve for x
    x = 417,481,392,384/475,992
  6. Step 6: Final answer
    x = 877,076.49

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.