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Finding the Third Proportional to 778,678 and 1,726,447

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Solution

The third proportional to 778,678 and 1,726,447 is: 3,827,794.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,678 : 1,726,447 = 1,726,447 : x
  2. Step 2: Convert to fraction form
    778,678/1,726,447 = 1,726,447/x
  3. Step 3: Cross multiply
    778,678x = 1,726,447 × 1,726,447
  4. Step 4: Simplify right side
    778,678x = 2,980,619,243,809
  5. Step 5: Solve for x
    x = 2,980,619,243,809/778,678
  6. Step 6: Final answer
    x = 3,827,794.34

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.