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Finding the Third Proportional to 778,809 and 1,690,478

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Solution

The third proportional to 778,809 and 1,690,478 is: 3,669,341.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,809 : 1,690,478 = 1,690,478 : x
  2. Step 2: Convert to fraction form
    778,809/1,690,478 = 1,690,478/x
  3. Step 3: Cross multiply
    778,809x = 1,690,478 × 1,690,478
  4. Step 4: Simplify right side
    778,809x = 2,857,715,868,484
  5. Step 5: Solve for x
    x = 2,857,715,868,484/778,809
  6. Step 6: Final answer
    x = 3,669,341.09

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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.