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Finding the Third Proportional to 185,722,129 and 279,051,193.50

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Solution

The third proportional to 185,722,129 and 279,051,193.50 is: 419,279,969.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,722,129 : 279,051,193.50 = 279,051,193.50 : x
  2. Step 2: Convert to fraction form
    185,722,129/279,051,193.50 = 279,051,193.50/x
  3. Step 3: Cross multiply
    185,722,129x = 279,051,193.50 × 279,051,193.50
  4. Step 4: Simplify right side
    185,722,129x = 77,869,568,593,774,448
  5. Step 5: Solve for x
    x = 77,869,568,593,774,448/185,722,129
  6. Step 6: Final answer
    x = 419,279,969.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.