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Finding the Third Proportional to 154,931 and 328,463

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Solution

The third proportional to 154,931 and 328,463 is: 696,361.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,931 : 328,463 = 328,463 : x
  2. Step 2: Convert to fraction form
    154,931/328,463 = 328,463/x
  3. Step 3: Cross multiply
    154,931x = 328,463 × 328,463
  4. Step 4: Simplify right side
    154,931x = 107,887,942,369
  5. Step 5: Solve for x
    x = 107,887,942,369/154,931
  6. Step 6: Final answer
    x = 696,361.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.