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Finding the Third Proportional to 383,480 and 806,624

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Solution

The third proportional to 383,480 and 806,624 is: 1,696,678.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,480 : 806,624 = 806,624 : x
  2. Step 2: Convert to fraction form
    383,480/806,624 = 806,624/x
  3. Step 3: Cross multiply
    383,480x = 806,624 × 806,624
  4. Step 4: Simplify right side
    383,480x = 650,642,277,376
  5. Step 5: Solve for x
    x = 650,642,277,376/383,480
  6. Step 6: Final answer
    x = 1,696,678.52

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.