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Finding the Third Proportional to 190,416 and 418,191

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Solution

The third proportional to 190,416 and 418,191 is: 918,429.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,416 : 418,191 = 418,191 : x
  2. Step 2: Convert to fraction form
    190,416/418,191 = 418,191/x
  3. Step 3: Cross multiply
    190,416x = 418,191 × 418,191
  4. Step 4: Simplify right side
    190,416x = 174,883,712,481
  5. Step 5: Solve for x
    x = 174,883,712,481/190,416
  6. Step 6: Final answer
    x = 918,429.71

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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.