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Finding the Third Proportional to 223,130 and 490,546.50

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Solution

The third proportional to 223,130 and 490,546.50 is: 1,078,455.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,130 : 490,546.50 = 490,546.50 : x
  2. Step 2: Convert to fraction form
    223,130/490,546.50 = 490,546.50/x
  3. Step 3: Cross multiply
    223,130x = 490,546.50 × 490,546.50
  4. Step 4: Simplify right side
    223,130x = 240,635,868,662.25
  5. Step 5: Solve for x
    x = 240,635,868,662.25/223,130
  6. Step 6: Final answer
    x = 1,078,455.92

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.