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Finding the Third Proportional to 438,132 and 484,212

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Solution

The third proportional to 438,132 and 484,212 is: 535,138.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,132 : 484,212 = 484,212 : x
  2. Step 2: Convert to fraction form
    438,132/484,212 = 484,212/x
  3. Step 3: Cross multiply
    438,132x = 484,212 × 484,212
  4. Step 4: Simplify right side
    438,132x = 234,461,260,944
  5. Step 5: Solve for x
    x = 234,461,260,944/438,132
  6. Step 6: Final answer
    x = 535,138.41

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.