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Finding the Third Proportional to 778,040 and 1,688,868

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Solution

The third proportional to 778,040 and 1,688,868 is: 3,665,974.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,040 : 1,688,868 = 1,688,868 : x
  2. Step 2: Convert to fraction form
    778,040/1,688,868 = 1,688,868/x
  3. Step 3: Cross multiply
    778,040x = 1,688,868 × 1,688,868
  4. Step 4: Simplify right side
    778,040x = 2,852,275,121,424
  5. Step 5: Solve for x
    x = 2,852,275,121,424/778,040
  6. Step 6: Final answer
    x = 3,665,974.91

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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.