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Finding the Third Proportional to 842,180,643 and 1,878,005,907

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Solution

The third proportional to 842,180,643 and 1,878,005,907 is: 4,187,826,229.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,180,643 : 1,878,005,907 = 1,878,005,907 : x
  2. Step 2: Convert to fraction form
    842,180,643/1,878,005,907 = 1,878,005,907/x
  3. Step 3: Cross multiply
    842,180,643x = 1,878,005,907 × 1,878,005,907
  4. Step 4: Simplify right side
    842,180,643x = 3,526,906,186,726,892,544
  5. Step 5: Solve for x
    x = 3,526,906,186,726,892,544/842,180,643
  6. Step 6: Final answer
    x = 4,187,826,229.49

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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.