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Finding the Third Proportional to 47,947 and 74,445

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Solution

The third proportional to 47,947 and 74,445 is: 115,587.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,947 : 74,445 = 74,445 : x
  2. Step 2: Convert to fraction form
    47,947/74,445 = 74,445/x
  3. Step 3: Cross multiply
    47,947x = 74,445 × 74,445
  4. Step 4: Simplify right side
    47,947x = 5,542,058,025
  5. Step 5: Solve for x
    x = 5,542,058,025/47,947
  6. Step 6: Final answer
    x = 115,587.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.