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Finding the Third Proportional to 488,005 and 729,134

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Solution

The third proportional to 488,005 and 729,134 is: 1,089,407.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,005 : 729,134 = 729,134 : x
  2. Step 2: Convert to fraction form
    488,005/729,134 = 729,134/x
  3. Step 3: Cross multiply
    488,005x = 729,134 × 729,134
  4. Step 4: Simplify right side
    488,005x = 531,636,389,956
  5. Step 5: Solve for x
    x = 531,636,389,956/488,005
  6. Step 6: Final answer
    x = 1,089,407.67

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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.