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Finding the Third Proportional to 154,551 and 328,056

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Solution

The third proportional to 154,551 and 328,056 is: 696,344.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,551 : 328,056 = 328,056 : x
  2. Step 2: Convert to fraction form
    154,551/328,056 = 328,056/x
  3. Step 3: Cross multiply
    154,551x = 328,056 × 328,056
  4. Step 4: Simplify right side
    154,551x = 107,620,739,136
  5. Step 5: Solve for x
    x = 107,620,739,136/154,551
  6. Step 6: Final answer
    x = 696,344.50

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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.