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Finding the Third Proportional to 445,828 and 684,294

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Solution

The third proportional to 445,828 and 684,294 is: 1,050,311.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,828 : 684,294 = 684,294 : x
  2. Step 2: Convert to fraction form
    445,828/684,294 = 684,294/x
  3. Step 3: Cross multiply
    445,828x = 684,294 × 684,294
  4. Step 4: Simplify right side
    445,828x = 468,258,278,436
  5. Step 5: Solve for x
    x = 468,258,278,436/445,828
  6. Step 6: Final answer
    x = 1,050,311.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.