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Finding the Third Proportional to 137,909,847 and 205,668,832.50

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Solution

The third proportional to 137,909,847 and 205,668,832.50 is: 306,719,712.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,909,847 : 205,668,832.50 = 205,668,832.50 : x
  2. Step 2: Convert to fraction form
    137,909,847/205,668,832.50 = 205,668,832.50/x
  3. Step 3: Cross multiply
    137,909,847x = 205,668,832.50 × 205,668,832.50
  4. Step 4: Simplify right side
    137,909,847x = 42,299,668,661,913,056
  5. Step 5: Solve for x
    x = 42,299,668,661,913,056/137,909,847
  6. Step 6: Final answer
    x = 306,719,712.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.