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Finding the Third Proportional to 188,067,820 and 290,612,526

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Solution

The third proportional to 188,067,820 and 290,612,526 is: 449,070,129.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,067,820 : 290,612,526 = 290,612,526 : x
  2. Step 2: Convert to fraction form
    188,067,820/290,612,526 = 290,612,526/x
  3. Step 3: Cross multiply
    188,067,820x = 290,612,526 × 290,612,526
  4. Step 4: Simplify right side
    188,067,820x = 84,455,640,268,100,672
  5. Step 5: Solve for x
    x = 84,455,640,268,100,672/188,067,820
  6. Step 6: Final answer
    x = 449,070,129.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.