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Finding the Third Proportional to 418,365 and 664,848

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Solution

The third proportional to 418,365 and 664,848 is: 1,056,548.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,365 : 664,848 = 664,848 : x
  2. Step 2: Convert to fraction form
    418,365/664,848 = 664,848/x
  3. Step 3: Cross multiply
    418,365x = 664,848 × 664,848
  4. Step 4: Simplify right side
    418,365x = 442,022,863,104
  5. Step 5: Solve for x
    x = 442,022,863,104/418,365
  6. Step 6: Final answer
    x = 1,056,548.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.