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Finding the Third Proportional to 81,712 and 175,280

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Solution

The third proportional to 81,712 and 175,280 is: 375,992.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,712 : 175,280 = 175,280 : x
  2. Step 2: Convert to fraction form
    81,712/175,280 = 175,280/x
  3. Step 3: Cross multiply
    81,712x = 175,280 × 175,280
  4. Step 4: Simplify right side
    81,712x = 30,723,078,400
  5. Step 5: Solve for x
    x = 30,723,078,400/81,712
  6. Step 6: Final answer
    x = 375,992.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.