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Finding the Third Proportional to 445,195 and 689,781

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Solution

The third proportional to 445,195 and 689,781 is: 1,068,740.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,195 : 689,781 = 689,781 : x
  2. Step 2: Convert to fraction form
    445,195/689,781 = 689,781/x
  3. Step 3: Cross multiply
    445,195x = 689,781 × 689,781
  4. Step 4: Simplify right side
    445,195x = 475,797,827,961
  5. Step 5: Solve for x
    x = 475,797,827,961/445,195
  6. Step 6: Final answer
    x = 1,068,740.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.