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Finding the Third Proportional to 323,439 and 463,140

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Solution

The third proportional to 323,439 and 463,140 is: 663,181.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,439 : 463,140 = 463,140 : x
  2. Step 2: Convert to fraction form
    323,439/463,140 = 463,140/x
  3. Step 3: Cross multiply
    323,439x = 463,140 × 463,140
  4. Step 4: Simplify right side
    323,439x = 214,498,659,600
  5. Step 5: Solve for x
    x = 214,498,659,600/323,439
  6. Step 6: Final answer
    x = 663,181.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.