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Finding the Third Proportional to 417,027 and 910,518

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Solution

The third proportional to 417,027 and 910,518 is: 1,987,984.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,027 : 910,518 = 910,518 : x
  2. Step 2: Convert to fraction form
    417,027/910,518 = 910,518/x
  3. Step 3: Cross multiply
    417,027x = 910,518 × 910,518
  4. Step 4: Simplify right side
    417,027x = 829,043,028,324
  5. Step 5: Solve for x
    x = 829,043,028,324/417,027
  6. Step 6: Final answer
    x = 1,987,984.06

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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.