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Finding the Third Proportional to 135,720 and 178,471

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Solution

The third proportional to 135,720 and 178,471 is: 234,688.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,720 : 178,471 = 178,471 : x
  2. Step 2: Convert to fraction form
    135,720/178,471 = 178,471/x
  3. Step 3: Cross multiply
    135,720x = 178,471 × 178,471
  4. Step 4: Simplify right side
    135,720x = 31,851,897,841
  5. Step 5: Solve for x
    x = 31,851,897,841/135,720
  6. Step 6: Final answer
    x = 234,688.31

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.