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Finding the Third Proportional to 99,978 and 216,904.50

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Solution

The third proportional to 99,978 and 216,904.50 is: 470,579.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,978 : 216,904.50 = 216,904.50 : x
  2. Step 2: Convert to fraction form
    99,978/216,904.50 = 216,904.50/x
  3. Step 3: Cross multiply
    99,978x = 216,904.50 × 216,904.50
  4. Step 4: Simplify right side
    99,978x = 47,047,562,120.25
  5. Step 5: Solve for x
    x = 47,047,562,120.25/99,978
  6. Step 6: Final answer
    x = 470,579.15

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.