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Finding the Third Proportional to 190,685 and 418,711

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Solution

The third proportional to 190,685 and 418,711 is: 919,416.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,685 : 418,711 = 418,711 : x
  2. Step 2: Convert to fraction form
    190,685/418,711 = 418,711/x
  3. Step 3: Cross multiply
    190,685x = 418,711 × 418,711
  4. Step 4: Simplify right side
    190,685x = 175,318,901,521
  5. Step 5: Solve for x
    x = 175,318,901,521/190,685
  6. Step 6: Final answer
    x = 919,416.32

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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.