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Finding the Third Proportional to 190,392 and 418,154

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Solution

The third proportional to 190,392 and 418,154 is: 918,382.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,392 : 418,154 = 418,154 : x
  2. Step 2: Convert to fraction form
    190,392/418,154 = 418,154/x
  3. Step 3: Cross multiply
    190,392x = 418,154 × 418,154
  4. Step 4: Simplify right side
    190,392x = 174,852,767,716
  5. Step 5: Solve for x
    x = 174,852,767,716/190,392
  6. Step 6: Final answer
    x = 918,382.96

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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.