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Finding the Third Proportional to 355,018 and 778,885

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Solution

The third proportional to 355,018 and 778,885 is: 1,708,819.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,018 : 778,885 = 778,885 : x
  2. Step 2: Convert to fraction form
    355,018/778,885 = 778,885/x
  3. Step 3: Cross multiply
    355,018x = 778,885 × 778,885
  4. Step 4: Simplify right side
    355,018x = 606,661,843,225
  5. Step 5: Solve for x
    x = 606,661,843,225/355,018
  6. Step 6: Final answer
    x = 1,708,819.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.