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Finding the Third Proportional to 190,542 and 418,452

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Solution

The third proportional to 190,542 and 418,452 is: 918,968.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,542 : 418,452 = 418,452 : x
  2. Step 2: Convert to fraction form
    190,542/418,452 = 418,452/x
  3. Step 3: Cross multiply
    190,542x = 418,452 × 418,452
  4. Step 4: Simplify right side
    190,542x = 175,102,076,304
  5. Step 5: Solve for x
    x = 175,102,076,304/190,542
  6. Step 6: Final answer
    x = 918,968.40

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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.