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Finding the Third Proportional to 778,628 and 1,689,448

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Solution

The third proportional to 778,628 and 1,689,448 is: 3,665,722.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,628 : 1,689,448 = 1,689,448 : x
  2. Step 2: Convert to fraction form
    778,628/1,689,448 = 1,689,448/x
  3. Step 3: Cross multiply
    778,628x = 1,689,448 × 1,689,448
  4. Step 4: Simplify right side
    778,628x = 2,854,234,544,704
  5. Step 5: Solve for x
    x = 2,854,234,544,704/778,628
  6. Step 6: Final answer
    x = 3,665,722.97

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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.