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Finding the Third Proportional to 47,430 and 71,021

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Solution

The third proportional to 47,430 and 71,021 is: 106,345.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,430 : 71,021 = 71,021 : x
  2. Step 2: Convert to fraction form
    47,430/71,021 = 71,021/x
  3. Step 3: Cross multiply
    47,430x = 71,021 × 71,021
  4. Step 4: Simplify right side
    47,430x = 5,043,982,441
  5. Step 5: Solve for x
    x = 5,043,982,441/47,430
  6. Step 6: Final answer
    x = 106,345.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.