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Finding the Third Proportional to 272,976 and 418,158

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Solution

The third proportional to 272,976 and 418,158 is: 640,554.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,976 : 418,158 = 418,158 : x
  2. Step 2: Convert to fraction form
    272,976/418,158 = 418,158/x
  3. Step 3: Cross multiply
    272,976x = 418,158 × 418,158
  4. Step 4: Simplify right side
    272,976x = 174,856,112,964
  5. Step 5: Solve for x
    x = 174,856,112,964/272,976
  6. Step 6: Final answer
    x = 640,554.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.