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Finding the Third Proportional to 846,212 and 1,831,752

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Solution

The third proportional to 846,212 and 1,831,752 is: 3,965,100.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,212 : 1,831,752 = 1,831,752 : x
  2. Step 2: Convert to fraction form
    846,212/1,831,752 = 1,831,752/x
  3. Step 3: Cross multiply
    846,212x = 1,831,752 × 1,831,752
  4. Step 4: Simplify right side
    846,212x = 3,355,315,389,504
  5. Step 5: Solve for x
    x = 3,355,315,389,504/846,212
  6. Step 6: Final answer
    x = 3,965,100.22

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.