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Finding the Third Proportional to 39,484 and 84,394

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Solution

The third proportional to 39,484 and 84,394 is: 180,385.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,484 : 84,394 = 84,394 : x
  2. Step 2: Convert to fraction form
    39,484/84,394 = 84,394/x
  3. Step 3: Cross multiply
    39,484x = 84,394 × 84,394
  4. Step 4: Simplify right side
    39,484x = 7,122,347,236
  5. Step 5: Solve for x
    x = 7,122,347,236/39,484
  6. Step 6: Final answer
    x = 180,385.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.