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Finding the Third Proportional to 488,003 and 729,135

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Solution

The third proportional to 488,003 and 729,135 is: 1,089,415.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,003 : 729,135 = 729,135 : x
  2. Step 2: Convert to fraction form
    488,003/729,135 = 729,135/x
  3. Step 3: Cross multiply
    488,003x = 729,135 × 729,135
  4. Step 4: Simplify right side
    488,003x = 531,637,848,225
  5. Step 5: Solve for x
    x = 531,637,848,225/488,003
  6. Step 6: Final answer
    x = 1,089,415.12

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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.