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Finding the Third Proportional to 488,001 and 729,132

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Solution

The third proportional to 488,001 and 729,132 is: 1,089,410.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,001 : 729,132 = 729,132 : x
  2. Step 2: Convert to fraction form
    488,001/729,132 = 729,132/x
  3. Step 3: Cross multiply
    488,001x = 729,132 × 729,132
  4. Step 4: Simplify right side
    488,001x = 531,633,473,424
  5. Step 5: Solve for x
    x = 531,633,473,424/488,001
  6. Step 6: Final answer
    x = 1,089,410.62

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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.