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Finding the Third Proportional to 842,180,645 and 1,878,005,911

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Solution

The third proportional to 842,180,645 and 1,878,005,911 is: 4,187,826,237.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,180,645 : 1,878,005,911 = 1,878,005,911 : x
  2. Step 2: Convert to fraction form
    842,180,645/1,878,005,911 = 1,878,005,911/x
  3. Step 3: Cross multiply
    842,180,645x = 1,878,005,911 × 1,878,005,911
  4. Step 4: Simplify right side
    842,180,645x = 3,526,906,201,750,940,160
  5. Step 5: Solve for x
    x = 3,526,906,201,750,940,160/842,180,645
  6. Step 6: Final answer
    x = 4,187,826,237.39

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.