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Finding the Third Proportional to 154,936 and 328,475

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Solution

The third proportional to 154,936 and 328,475 is: 696,389.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,936 : 328,475 = 328,475 : x
  2. Step 2: Convert to fraction form
    154,936/328,475 = 328,475/x
  3. Step 3: Cross multiply
    154,936x = 328,475 × 328,475
  4. Step 4: Simplify right side
    154,936x = 107,895,825,625
  5. Step 5: Solve for x
    x = 107,895,825,625/154,936
  6. Step 6: Final answer
    x = 696,389.64

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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.