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Finding the Third Proportional to 1,290,311,648 and 2,831,445,808

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Solution

The third proportional to 1,290,311,648 and 2,831,445,808 is: 6,213,293,800.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290,311,648 : 2,831,445,808 = 2,831,445,808 : x
  2. Step 2: Convert to fraction form
    1,290,311,648/2,831,445,808 = 2,831,445,808/x
  3. Step 3: Cross multiply
    1,290,311,648x = 2,831,445,808 × 2,831,445,808
  4. Step 4: Simplify right side
    1,290,311,648x = 8,017,085,363,640,772,608
  5. Step 5: Solve for x
    x = 8,017,085,363,640,772,608/1,290,311,648
  6. Step 6: Final answer
    x = 6,213,293,800.82

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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.