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Finding the Third Proportional to 216,951 and 471,219

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Solution

The third proportional to 216,951 and 471,219 is: 1,023,490.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,951 : 471,219 = 471,219 : x
  2. Step 2: Convert to fraction form
    216,951/471,219 = 471,219/x
  3. Step 3: Cross multiply
    216,951x = 471,219 × 471,219
  4. Step 4: Simplify right side
    216,951x = 222,047,345,961
  5. Step 5: Solve for x
    x = 222,047,345,961/216,951
  6. Step 6: Final answer
    x = 1,023,490.77

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Why These Related Problems?

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