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Finding the Third Proportional to 176,178 and 272,043

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Solution

The third proportional to 176,178 and 272,043 is: 420,071.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,178 : 272,043 = 272,043 : x
  2. Step 2: Convert to fraction form
    176,178/272,043 = 272,043/x
  3. Step 3: Cross multiply
    176,178x = 272,043 × 272,043
  4. Step 4: Simplify right side
    176,178x = 74,007,393,849
  5. Step 5: Solve for x
    x = 74,007,393,849/176,178
  6. Step 6: Final answer
    x = 420,071.71

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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.