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Finding the Third Proportional to 417,076.50 and 646,351.50

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Solution

The third proportional to 417,076.50 and 646,351.50 is: 1,001,663.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,076.50 : 646,351.50 = 646,351.50 : x
  2. Step 2: Convert to fraction form
    417,076.50/646,351.50 = 646,351.50/x
  3. Step 3: Cross multiply
    417,076.50x = 646,351.50 × 646,351.50
  4. Step 4: Simplify right side
    417,076.50x = 417,770,261,552.25
  5. Step 5: Solve for x
    x = 417,770,261,552.25/417,076.50
  6. Step 6: Final answer
    x = 1,001,663.39

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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.