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Finding the Third Proportional to 418,118 and 637,006

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Solution

The third proportional to 418,118 and 637,006 is: 970,483.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,118 : 637,006 = 637,006 : x
  2. Step 2: Convert to fraction form
    418,118/637,006 = 637,006/x
  3. Step 3: Cross multiply
    418,118x = 637,006 × 637,006
  4. Step 4: Simplify right side
    418,118x = 405,776,644,036
  5. Step 5: Solve for x
    x = 405,776,644,036/418,118
  6. Step 6: Final answer
    x = 970,483.56

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