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Finding the Third Proportional to 778,679 and 1,726,450

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Solution

The third proportional to 778,679 and 1,726,450 is: 3,827,802.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,679 : 1,726,450 = 1,726,450 : x
  2. Step 2: Convert to fraction form
    778,679/1,726,450 = 1,726,450/x
  3. Step 3: Cross multiply
    778,679x = 1,726,450 × 1,726,450
  4. Step 4: Simplify right side
    778,679x = 2,980,629,602,500
  5. Step 5: Solve for x
    x = 2,980,629,602,500/778,679
  6. Step 6: Final answer
    x = 3,827,802.73

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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.