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Finding the Third Proportional to 1,290,311,646 and 2,831,445,804

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Solution

The third proportional to 1,290,311,646 and 2,831,445,804 is: 6,213,293,792.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290,311,646 : 2,831,445,804 = 2,831,445,804 : x
  2. Step 2: Convert to fraction form
    1,290,311,646/2,831,445,804 = 2,831,445,804/x
  3. Step 3: Cross multiply
    1,290,311,646x = 2,831,445,804 × 2,831,445,804
  4. Step 4: Simplify right side
    1,290,311,646x = 8,017,085,340,989,206,528
  5. Step 5: Solve for x
    x = 8,017,085,340,989,206,528/1,290,311,646
  6. Step 6: Final answer
    x = 6,213,293,792.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.