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Finding the Third Proportional to 71,572 and 164,878

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Solution

The third proportional to 71,572 and 164,878 is: 379,823.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,572 : 164,878 = 164,878 : x
  2. Step 2: Convert to fraction form
    71,572/164,878 = 164,878/x
  3. Step 3: Cross multiply
    71,572x = 164,878 × 164,878
  4. Step 4: Simplify right side
    71,572x = 27,184,754,884
  5. Step 5: Solve for x
    x = 27,184,754,884/71,572
  6. Step 6: Final answer
    x = 379,823.88

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.