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Finding the Third Proportional to 215,913 and 471,129

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Solution

The third proportional to 215,913 and 471,129 is: 1,028,018.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,913 : 471,129 = 471,129 : x
  2. Step 2: Convert to fraction form
    215,913/471,129 = 471,129/x
  3. Step 3: Cross multiply
    215,913x = 471,129 × 471,129
  4. Step 4: Simplify right side
    215,913x = 221,962,534,641
  5. Step 5: Solve for x
    x = 221,962,534,641/215,913
  6. Step 6: Final answer
    x = 1,028,018.39

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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.