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Finding the Third Proportional to 354,939 and 769,767

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Solution

The third proportional to 354,939 and 769,767 is: 1,669,417.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,939 : 769,767 = 769,767 : x
  2. Step 2: Convert to fraction form
    354,939/769,767 = 769,767/x
  3. Step 3: Cross multiply
    354,939x = 769,767 × 769,767
  4. Step 4: Simplify right side
    354,939x = 592,541,234,289
  5. Step 5: Solve for x
    x = 592,541,234,289/354,939
  6. Step 6: Final answer
    x = 1,669,417.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.