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Finding the Third Proportional to 272,178 and 423,171

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Solution

The third proportional to 272,178 and 423,171 is: 657,928.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,178 : 423,171 = 423,171 : x
  2. Step 2: Convert to fraction form
    272,178/423,171 = 423,171/x
  3. Step 3: Cross multiply
    272,178x = 423,171 × 423,171
  4. Step 4: Simplify right side
    272,178x = 179,073,695,241
  5. Step 5: Solve for x
    x = 179,073,695,241/272,178
  6. Step 6: Final answer
    x = 657,928.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.