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Finding the Third Proportional to 272,994 and 418,188

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Solution

The third proportional to 272,994 and 418,188 is: 640,604.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,994 : 418,188 = 418,188 : x
  2. Step 2: Convert to fraction form
    272,994/418,188 = 418,188/x
  3. Step 3: Cross multiply
    272,994x = 418,188 × 418,188
  4. Step 4: Simplify right side
    272,994x = 174,881,203,344
  5. Step 5: Solve for x
    x = 174,881,203,344/272,994
  6. Step 6: Final answer
    x = 640,604.57

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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.