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Finding the Third Proportional to 38,021 and 78,453

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Solution

The third proportional to 38,021 and 78,453 is: 161,880.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,021 : 78,453 = 78,453 : x
  2. Step 2: Convert to fraction form
    38,021/78,453 = 78,453/x
  3. Step 3: Cross multiply
    38,021x = 78,453 × 78,453
  4. Step 4: Simplify right side
    38,021x = 6,154,873,209
  5. Step 5: Solve for x
    x = 6,154,873,209/38,021
  6. Step 6: Final answer
    x = 161,880.89

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.