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Finding the Third Proportional to 471,888 and 1,022,494.50

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Solution

The third proportional to 471,888 and 1,022,494.50 is: 2,215,557.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,888 : 1,022,494.50 = 1,022,494.50 : x
  2. Step 2: Convert to fraction form
    471,888/1,022,494.50 = 1,022,494.50/x
  3. Step 3: Cross multiply
    471,888x = 1,022,494.50 × 1,022,494.50
  4. Step 4: Simplify right side
    471,888x = 1,045,495,002,530.25
  5. Step 5: Solve for x
    x = 1,045,495,002,530.25/471,888
  6. Step 6: Final answer
    x = 2,215,557.51

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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.