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Finding the Third Proportional to 71,628 and 151,794

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Solution

The third proportional to 71,628 and 151,794 is: 321,681.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,628 : 151,794 = 151,794 : x
  2. Step 2: Convert to fraction form
    71,628/151,794 = 151,794/x
  3. Step 3: Cross multiply
    71,628x = 151,794 × 151,794
  4. Step 4: Simplify right side
    71,628x = 23,041,418,436
  5. Step 5: Solve for x
    x = 23,041,418,436/71,628
  6. Step 6: Final answer
    x = 321,681.72

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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.