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Finding the Third Proportional to 154,684 and 328,320

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Solution

The third proportional to 154,684 and 328,320 is: 696,866.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,684 : 328,320 = 328,320 : x
  2. Step 2: Convert to fraction form
    154,684/328,320 = 328,320/x
  3. Step 3: Cross multiply
    154,684x = 328,320 × 328,320
  4. Step 4: Simplify right side
    154,684x = 107,794,022,400
  5. Step 5: Solve for x
    x = 107,794,022,400/154,684
  6. Step 6: Final answer
    x = 696,866.01

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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.