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Finding the Third Proportional to 418,012 and 636,798

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Solution

The third proportional to 418,012 and 636,798 is: 970,095.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,012 : 636,798 = 636,798 : x
  2. Step 2: Convert to fraction form
    418,012/636,798 = 636,798/x
  3. Step 3: Cross multiply
    418,012x = 636,798 × 636,798
  4. Step 4: Simplify right side
    418,012x = 405,511,692,804
  5. Step 5: Solve for x
    x = 405,511,692,804/418,012
  6. Step 6: Final answer
    x = 970,095.82

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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.