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Finding the Third Proportional to 415,840 and 620,992

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Solution

The third proportional to 415,840 and 620,992 is: 927,354.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,840 : 620,992 = 620,992 : x
  2. Step 2: Convert to fraction form
    415,840/620,992 = 620,992/x
  3. Step 3: Cross multiply
    415,840x = 620,992 × 620,992
  4. Step 4: Simplify right side
    415,840x = 385,631,064,064
  5. Step 5: Solve for x
    x = 385,631,064,064/415,840
  6. Step 6: Final answer
    x = 927,354.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.