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Finding the Third Proportional to 417,780 and 636,462

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Solution

The third proportional to 417,780 and 636,462 is: 969,610.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,780 : 636,462 = 636,462 : x
  2. Step 2: Convert to fraction form
    417,780/636,462 = 636,462/x
  3. Step 3: Cross multiply
    417,780x = 636,462 × 636,462
  4. Step 4: Simplify right side
    417,780x = 405,083,877,444
  5. Step 5: Solve for x
    x = 405,083,877,444/417,780
  6. Step 6: Final answer
    x = 969,610.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.