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Finding the Third Proportional to 421,680 and 903,624

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Solution

The third proportional to 421,680 and 903,624 is: 1,936,388.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,680 : 903,624 = 903,624 : x
  2. Step 2: Convert to fraction form
    421,680/903,624 = 903,624/x
  3. Step 3: Cross multiply
    421,680x = 903,624 × 903,624
  4. Step 4: Simplify right side
    421,680x = 816,536,333,376
  5. Step 5: Solve for x
    x = 816,536,333,376/421,680
  6. Step 6: Final answer
    x = 1,936,388.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.