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Finding the Third Proportional to 176,676 and 272,961

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Solution

The third proportional to 176,676 and 272,961 is: 421,719.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,676 : 272,961 = 272,961 : x
  2. Step 2: Convert to fraction form
    176,676/272,961 = 272,961/x
  3. Step 3: Cross multiply
    176,676x = 272,961 × 272,961
  4. Step 4: Simplify right side
    176,676x = 74,507,707,521
  5. Step 5: Solve for x
    x = 74,507,707,521/176,676
  6. Step 6: Final answer
    x = 421,719.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.