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Finding the Third Proportional to 190,234 and 418,515

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Solution

The third proportional to 190,234 and 418,515 is: 920,733.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,234 : 418,515 = 418,515 : x
  2. Step 2: Convert to fraction form
    190,234/418,515 = 418,515/x
  3. Step 3: Cross multiply
    190,234x = 418,515 × 418,515
  4. Step 4: Simplify right side
    190,234x = 175,154,805,225
  5. Step 5: Solve for x
    x = 175,154,805,225/190,234
  6. Step 6: Final answer
    x = 920,733.44

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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.