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Finding the Third Proportional to 277,182 and 418,281

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Solution

The third proportional to 277,182 and 418,281 is: 631,206.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,182 : 418,281 = 418,281 : x
  2. Step 2: Convert to fraction form
    277,182/418,281 = 418,281/x
  3. Step 3: Cross multiply
    277,182x = 418,281 × 418,281
  4. Step 4: Simplify right side
    277,182x = 174,958,994,961
  5. Step 5: Solve for x
    x = 174,958,994,961/277,182
  6. Step 6: Final answer
    x = 631,206.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.