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Finding the Third Proportional to 38,047 and 81,370

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Solution

The third proportional to 38,047 and 81,370 is: 174,023.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,047 : 81,370 = 81,370 : x
  2. Step 2: Convert to fraction form
    38,047/81,370 = 81,370/x
  3. Step 3: Cross multiply
    38,047x = 81,370 × 81,370
  4. Step 4: Simplify right side
    38,047x = 6,621,076,900
  5. Step 5: Solve for x
    x = 6,621,076,900/38,047
  6. Step 6: Final answer
    x = 174,023.63

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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.