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Finding the Third Proportional to 190,278 and 418,221

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Solution

The third proportional to 190,278 and 418,221 is: 919,227.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,278 : 418,221 = 418,221 : x
  2. Step 2: Convert to fraction form
    190,278/418,221 = 418,221/x
  3. Step 3: Cross multiply
    190,278x = 418,221 × 418,221
  4. Step 4: Simplify right side
    190,278x = 174,908,804,841
  5. Step 5: Solve for x
    x = 174,908,804,841/190,278
  6. Step 6: Final answer
    x = 919,227.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.