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Finding the Third Proportional to 331,418 and 468,507

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Solution

The third proportional to 331,418 and 468,507 is: 662,302.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,418 : 468,507 = 468,507 : x
  2. Step 2: Convert to fraction form
    331,418/468,507 = 468,507/x
  3. Step 3: Cross multiply
    331,418x = 468,507 × 468,507
  4. Step 4: Simplify right side
    331,418x = 219,498,809,049
  5. Step 5: Solve for x
    x = 219,498,809,049/331,418
  6. Step 6: Final answer
    x = 662,302.01

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.