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Finding the Third Proportional to 99,840.09 and 214,903.13

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Solution

The third proportional to 99,840.09 and 214,903.13 is: 462,573.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,840.09 : 214,903.13 = 214,903.13 : x
  2. Step 2: Convert to fraction form
    99,840.09/214,903.13 = 214,903.13/x
  3. Step 3: Cross multiply
    99,840.09x = 214,903.13 × 214,903.13
  4. Step 4: Simplify right side
    99,840.09x = 46,183,353,134.77
  5. Step 5: Solve for x
    x = 46,183,353,134.77/99,840.09
  6. Step 6: Final answer
    x = 462,573.21

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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.