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Finding the Third Proportional to 210,940,889.50 and 462,725,644.50

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Solution

The third proportional to 210,940,889.50 and 462,725,644.50 is: 1,015,047,497.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,940,889.50 : 462,725,644.50 = 462,725,644.50 : x
  2. Step 2: Convert to fraction form
    210,940,889.50/462,725,644.50 = 462,725,644.50/x
  3. Step 3: Cross multiply
    210,940,889.50x = 462,725,644.50 × 462,725,644.50
  4. Step 4: Simplify right side
    210,940,889.50x = 214,115,022,077,940,384
  5. Step 5: Solve for x
    x = 214,115,022,077,940,384/210,940,889.50
  6. Step 6: Final answer
    x = 1,015,047,497.83

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.