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Finding the Third Proportional to 153,994,128 and 342,418,917

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Solution

The third proportional to 153,994,128 and 342,418,917 is: 761,397,309.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,994,128 : 342,418,917 = 342,418,917 : x
  2. Step 2: Convert to fraction form
    153,994,128/342,418,917 = 342,418,917/x
  3. Step 3: Cross multiply
    153,994,128x = 342,418,917 × 342,418,917
  4. Step 4: Simplify right side
    153,994,128x = 117,250,714,719,452,896
  5. Step 5: Solve for x
    x = 117,250,714,719,452,896/153,994,128
  6. Step 6: Final answer
    x = 761,397,309.38

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.