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Finding the Third Proportional to 442,749 and 664,221

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Solution

The third proportional to 442,749 and 664,221 is: 996,477.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,749 : 664,221 = 664,221 : x
  2. Step 2: Convert to fraction form
    442,749/664,221 = 664,221/x
  3. Step 3: Cross multiply
    442,749x = 664,221 × 664,221
  4. Step 4: Simplify right side
    442,749x = 441,189,536,841
  5. Step 5: Solve for x
    x = 441,189,536,841/442,749
  6. Step 6: Final answer
    x = 996,477.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.