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Finding the Third Proportional to 39,204 and 76,428

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Solution

The third proportional to 39,204 and 76,428 is: 148,996

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,204 : 76,428 = 76,428 : x
  2. Step 2: Convert to fraction form
    39,204/76,428 = 76,428/x
  3. Step 3: Cross multiply
    39,204x = 76,428 × 76,428
  4. Step 4: Simplify right side
    39,204x = 5,841,239,184
  5. Step 5: Solve for x
    x = 5,841,239,184/39,204
  6. Step 6: Final answer
    x = 148,996

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.