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Finding the Third Proportional to 190,451 and 418,264

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Solution

The third proportional to 190,451 and 418,264 is: 918,581.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,451 : 418,264 = 418,264 : x
  2. Step 2: Convert to fraction form
    190,451/418,264 = 418,264/x
  3. Step 3: Cross multiply
    190,451x = 418,264 × 418,264
  4. Step 4: Simplify right side
    190,451x = 174,944,773,696
  5. Step 5: Solve for x
    x = 174,944,773,696/190,451
  6. Step 6: Final answer
    x = 918,581.54

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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.