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Finding the Third Proportional to 190,449 and 418,260

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Solution

The third proportional to 190,449 and 418,260 is: 918,573.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,449 : 418,260 = 418,260 : x
  2. Step 2: Convert to fraction form
    190,449/418,260 = 418,260/x
  3. Step 3: Cross multiply
    190,449x = 418,260 × 418,260
  4. Step 4: Simplify right side
    190,449x = 174,941,427,600
  5. Step 5: Solve for x
    x = 174,941,427,600/190,449
  6. Step 6: Final answer
    x = 918,573.62

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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.