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Finding the Third Proportional to 137,189,448 and 294,271,843.50

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Solution

The third proportional to 137,189,448 and 294,271,843.50 is: 631,214,128.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,189,448 : 294,271,843.50 = 294,271,843.50 : x
  2. Step 2: Convert to fraction form
    137,189,448/294,271,843.50 = 294,271,843.50/x
  3. Step 3: Cross multiply
    137,189,448x = 294,271,843.50 × 294,271,843.50
  4. Step 4: Simplify right side
    137,189,448x = 86,595,917,876,888,496
  5. Step 5: Solve for x
    x = 86,595,917,876,888,496/137,189,448
  6. Step 6: Final answer
    x = 631,214,128.63

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.