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Finding the Third Proportional to 354,405 and 771,018

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Solution

The third proportional to 354,405 and 771,018 is: 1,677,371.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,405 : 771,018 = 771,018 : x
  2. Step 2: Convert to fraction form
    354,405/771,018 = 771,018/x
  3. Step 3: Cross multiply
    354,405x = 771,018 × 771,018
  4. Step 4: Simplify right side
    354,405x = 594,468,756,324
  5. Step 5: Solve for x
    x = 594,468,756,324/354,405
  6. Step 6: Final answer
    x = 1,677,371.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.