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Finding the Third Proportional to 445,196 and 689,782

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Solution

The third proportional to 445,196 and 689,782 is: 1,068,740.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,196 : 689,782 = 689,782 : x
  2. Step 2: Convert to fraction form
    445,196/689,782 = 689,782/x
  3. Step 3: Cross multiply
    445,196x = 689,782 × 689,782
  4. Step 4: Simplify right side
    445,196x = 475,799,207,524
  5. Step 5: Solve for x
    x = 475,799,207,524/445,196
  6. Step 6: Final answer
    x = 1,068,740.98

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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.