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Finding the Third Proportional to 215,859 and 471,023

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Solution

The third proportional to 215,859 and 471,023 is: 1,027,812.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,859 : 471,023 = 471,023 : x
  2. Step 2: Convert to fraction form
    215,859/471,023 = 471,023/x
  3. Step 3: Cross multiply
    215,859x = 471,023 × 471,023
  4. Step 4: Simplify right side
    215,859x = 221,862,666,529
  5. Step 5: Solve for x
    x = 221,862,666,529/215,859
  6. Step 6: Final answer
    x = 1,027,812.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.